diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/LinearOpsTensorAlgebra.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/LinearOpsTensorAlgebra.kt
index 2e1c4a92c..94176564c 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/LinearOpsTensorAlgebra.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/LinearOpsTensorAlgebra.kt
@@ -17,7 +17,7 @@ public interface LinearOpsTensorAlgebra<T, TensorType : TensorStructure<T>, Inde
     public fun TensorType.lu(): Pair<TensorType, IndexTensorType>
 
     //https://pytorch.org/docs/stable/generated/torch.lu_unpack.html
-    public fun luPivot(lu: TensorType, pivots: IntTensor): Triple<TensorType, TensorType, TensorType>
+    public fun luPivot(lu: TensorType, pivots: IndexTensorType): Triple<TensorType, TensorType, TensorType>
 
     //https://pytorch.org/docs/stable/linalg.html#torch.linalg.svd
     public fun TensorType.svd(): Triple<TensorType, TensorType, TensorType>
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/utils.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BroadcastDoubleTensorAlgebra.kt
similarity index 50%
rename from kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/utils.kt
rename to kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BroadcastDoubleTensorAlgebra.kt
index e7e043463..a4767a612 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/utils.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BroadcastDoubleTensorAlgebra.kt
@@ -1,10 +1,91 @@
-package space.kscience.kmath.tensors
+package space.kscience.kmath.tensors.core
 
-import space.kscience.kmath.structures.*
 import kotlin.math.max
 
+public class BroadcastDoubleTensorAlgebra : DoubleTensorAlgebra() {
+
+    override fun DoubleTensor.plus(other: DoubleTensor): DoubleTensor {
+        val broadcast = broadcastTensors(this, other)
+        val newThis = broadcast[0]
+        val newOther = broadcast[1]
+        val resBuffer = DoubleArray(newThis.strides.linearSize) { i ->
+            newThis.buffer.array()[i] + newOther.buffer.array()[i]
+        }
+        return DoubleTensor(newThis.shape, resBuffer)
+    }
+
+    override fun DoubleTensor.plusAssign(other: DoubleTensor) {
+        val newOther = broadcastTo(other, this.shape)
+        for (i in 0 until this.strides.linearSize) {
+            this.buffer.array()[this.bufferStart + i] +=
+                newOther.buffer.array()[this.bufferStart + i]
+        }
+    }
+
+    override fun DoubleTensor.minus(other: DoubleTensor): DoubleTensor {
+        val broadcast = broadcastTensors(this, other)
+        val newThis = broadcast[0]
+        val newOther = broadcast[1]
+        val resBuffer = DoubleArray(newThis.strides.linearSize) { i ->
+            newThis.buffer.array()[i] - newOther.buffer.array()[i]
+        }
+        return DoubleTensor(newThis.shape, resBuffer)
+    }
+
+    override fun DoubleTensor.minusAssign(other: DoubleTensor) {
+        val newOther = broadcastTo(other, this.shape)
+        for (i in 0 until this.strides.linearSize) {
+            this.buffer.array()[this.bufferStart + i] -=
+                newOther.buffer.array()[this.bufferStart + i]
+        }
+    }
+
+    override fun DoubleTensor.times(other: DoubleTensor): DoubleTensor {
+        val broadcast = broadcastTensors(this, other)
+        val newThis = broadcast[0]
+        val newOther = broadcast[1]
+        val resBuffer = DoubleArray(newThis.strides.linearSize) { i ->
+            newThis.buffer.array()[newOther.bufferStart + i] *
+                    newOther.buffer.array()[newOther.bufferStart + i]
+        }
+        return DoubleTensor(newThis.shape, resBuffer)
+    }
+
+    override fun DoubleTensor.timesAssign(other: DoubleTensor) {
+        val newOther = broadcastTo(other, this.shape)
+        for (i in 0 until this.strides.linearSize) {
+            this.buffer.array()[this.bufferStart + i] *=
+                newOther.buffer.array()[this.bufferStart + i]
+        }
+    }
+
+    override fun DoubleTensor.div(other: DoubleTensor): DoubleTensor {
+        val broadcast = broadcastTensors(this, other)
+        val newThis = broadcast[0]
+        val newOther = broadcast[1]
+        val resBuffer = DoubleArray(newThis.strides.linearSize) { i ->
+            newThis.buffer.array()[newOther.bufferStart + i] /
+                    newOther.buffer.array()[newOther.bufferStart + i]
+        }
+        return DoubleTensor(newThis.shape, resBuffer)
+    }
+
+    override fun DoubleTensor.divAssign(other: DoubleTensor) {
+        val newOther = broadcastTo(other, this.shape)
+        for (i in 0 until this.strides.linearSize) {
+            this.buffer.array()[this.bufferStart + i] /=
+                newOther.buffer.array()[this.bufferStart + i]
+        }
+    }
+
+}
+
+public inline fun <R> broadcastDoubleTensorAlgebra(block: BroadcastDoubleTensorAlgebra.() -> R): R =
+    BroadcastDoubleTensorAlgebra().block()
+
 
 internal inline fun broadcastShapes(vararg shapes: IntArray): IntArray {
+    println(shapes)
     var totalDim = 0
     for (shape in shapes) {
         totalDim = max(totalDim, shape.size)
@@ -99,68 +180,4 @@ internal inline fun broadcastTensors(vararg tensors: DoubleTensor): List<DoubleT
     }
 
     return res
-}
-
-internal inline fun <T, TensorType : TensorStructure<T>,
-        TorchTensorAlgebraType : TensorAlgebra<T, TensorType>>
-        TorchTensorAlgebraType.checkDot(a: TensorType, b: TensorType): Unit {
-    val sa = a.shape
-    val sb = b.shape
-    val na = sa.size
-    val nb = sb.size
-    var status: Boolean
-    if (nb == 1) {
-        status = sa.last() == sb[0]
-    } else {
-        status = sa.last() == sb[nb - 2]
-        if ((na > 2) and (nb > 2)) {
-            status = status and
-                    (sa.take(nb - 2).toIntArray() contentEquals sb.take(nb - 2).toIntArray())
-        }
-    }
-    check(status) { "Incompatible shapes $sa and $sb for dot product" }
-}
-
-internal inline fun <T, TensorType : TensorStructure<T>,
-        TorchTensorAlgebraType : TensorAlgebra<T, TensorType>>
-        TorchTensorAlgebraType.checkTranspose(dim: Int, i: Int, j: Int): Unit =
-    check((i < dim) and (j < dim)) {
-        "Cannot transpose $i to $j for a tensor of dim $dim"
-    }
-
-internal inline fun <T, TensorType : TensorStructure<T>,
-        TorchTensorAlgebraType : TensorAlgebra<T, TensorType>>
-        TorchTensorAlgebraType.checkView(a: TensorType, shape: IntArray): Unit =
-    check(a.shape.reduce(Int::times) == shape.reduce(Int::times))
-
-/**
- * Returns a reference to [IntArray] containing all of the elements of this [Buffer].
- */
-internal fun Buffer<Int>.array(): IntArray = when(this) {
-    is IntBuffer -> array
-    else -> throw RuntimeException("Failed to cast Buffer to IntArray")
-}
-
-/**
- * Returns a reference to [LongArray] containing all of the elements of this [Buffer].
- */
-internal fun Buffer<Long>.array(): LongArray = when(this) {
-    is LongBuffer -> array
-    else -> throw RuntimeException("Failed to cast Buffer to LongArray")
-}
-
-/**
- * Returns a reference to [FloatArray] containing all of the elements of this [Buffer].
- */
-internal fun Buffer<Float>.array(): FloatArray = when(this) {
-    is FloatBuffer -> array
-    else -> throw RuntimeException("Failed to cast Buffer to FloatArray")
-}
-
-/**
- * Returns a reference to [DoubleArray] containing all of the elements of this [Buffer].
- */
-internal fun Buffer<Double>.array(): DoubleArray = when(this) {
-    is RealBuffer -> array
-    else -> throw RuntimeException("Failed to cast Buffer to DoubleArray")
-}
+}
\ No newline at end of file
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/BufferedTensor.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BufferedTensor.kt
similarity index 88%
rename from kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/BufferedTensor.kt
rename to kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BufferedTensor.kt
index c48e47f4c..cbfb15be0 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/BufferedTensor.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BufferedTensor.kt
@@ -1,8 +1,10 @@
-package space.kscience.kmath.tensors
+package space.kscience.kmath.tensors.core
 
 import space.kscience.kmath.linear.Matrix
 import space.kscience.kmath.nd.*
 import space.kscience.kmath.structures.*
+import space.kscience.kmath.tensors.TensorStrides
+import space.kscience.kmath.tensors.TensorStructure
 
 
 public open class BufferedTensor<T>(
@@ -76,25 +78,25 @@ public open class BufferedTensor<T>(
 }
 
 
-public class IntTensor(
+public class IntTensor internal constructor(
     shape: IntArray,
     buffer: IntArray,
     offset: Int = 0
 ) : BufferedTensor<Int>(shape, IntBuffer(buffer), offset)
 
-public class LongTensor(
+public class LongTensor internal constructor(
     shape: IntArray,
     buffer: LongArray,
     offset: Int = 0
 ) : BufferedTensor<Long>(shape, LongBuffer(buffer), offset)
 
-public class FloatTensor(
+public class FloatTensor internal constructor(
     shape: IntArray,
     buffer: FloatArray,
     offset: Int = 0
 ) : BufferedTensor<Float>(shape, FloatBuffer(buffer), offset)
 
-public class DoubleTensor(
+public class DoubleTensor internal constructor(
     shape: IntArray,
     buffer: DoubleArray,
     offset: Int = 0
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleAnalyticTensorAlgebra.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleAnalyticTensorAlgebra.kt
similarity index 96%
rename from kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleAnalyticTensorAlgebra.kt
rename to kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleAnalyticTensorAlgebra.kt
index 5349a9923..a34fe4b6c 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleAnalyticTensorAlgebra.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleAnalyticTensorAlgebra.kt
@@ -1,4 +1,6 @@
-package space.kscience.kmath.tensors
+package space.kscience.kmath.tensors.core
+
+import space.kscience.kmath.tensors.AnalyticTensorAlgebra
 
 public class DoubleAnalyticTensorAlgebra:
     AnalyticTensorAlgebra<Double, DoubleTensor>,
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleLinearOpsTensorAlgebra.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleLinearOpsTensorAlgebra.kt
similarity index 96%
rename from kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleLinearOpsTensorAlgebra.kt
rename to kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleLinearOpsTensorAlgebra.kt
index 3f44305b1..8a16dc3ed 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleLinearOpsTensorAlgebra.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleLinearOpsTensorAlgebra.kt
@@ -1,4 +1,6 @@
-package space.kscience.kmath.tensors
+package space.kscience.kmath.tensors.core
+
+import space.kscience.kmath.tensors.LinearOpsTensorAlgebra
 
 public class DoubleLinearOpsTensorAlgebra :
     LinearOpsTensorAlgebra<Double, DoubleTensor, IntTensor>,
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleOrderedTensorAlgebra.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleOrderedTensorAlgebra.kt
similarity index 89%
rename from kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleOrderedTensorAlgebra.kt
rename to kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleOrderedTensorAlgebra.kt
index bd6bcfe8f..a6bea59f4 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleOrderedTensorAlgebra.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleOrderedTensorAlgebra.kt
@@ -1,4 +1,6 @@
-package space.kscience.kmath.tensors
+package space.kscience.kmath.tensors.core
+
+import space.kscience.kmath.tensors.OrderedTensorAlgebra
 
 public open class DoubleOrderedTensorAlgebra:
     OrderedTensorAlgebra<Double, DoubleTensor>,
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleReduceOpsTensorAlgebra.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleReduceOpsTensorAlgebra.kt
similarity index 68%
rename from kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleReduceOpsTensorAlgebra.kt
rename to kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleReduceOpsTensorAlgebra.kt
index 00d9b3ff8..9a8aa9ebf 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleReduceOpsTensorAlgebra.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleReduceOpsTensorAlgebra.kt
@@ -1,8 +1,10 @@
-package space.kscience.kmath.tensors
+package space.kscience.kmath.tensors.core
+
+import space.kscience.kmath.tensors.ReduceOpsTensorAlgebra
 
 public class DoubleReduceOpsTensorAlgebra:
     DoubleTensorAlgebra(),
-    ReduceOpsTensorAlgebra<Double, DoubleTensor>  {
+    ReduceOpsTensorAlgebra<Double, DoubleTensor> {
 
     override fun DoubleTensor.value(): Double {
         check(this.shape contentEquals intArrayOf(1)) {
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleTensorAlgebra.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt
similarity index 77%
rename from kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleTensorAlgebra.kt
rename to kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt
index 675be2f33..9decc0e6a 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/DoubleTensorAlgebra.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt
@@ -1,8 +1,18 @@
-package space.kscience.kmath.tensors
+package space.kscience.kmath.tensors.core
+
+import space.kscience.kmath.tensors.TensorPartialDivisionAlgebra
 
 
 public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, DoubleTensor> {
 
+    public fun fromArray(shape: IntArray, buffer: DoubleArray): DoubleTensor {
+        checkEmptyShape(shape)
+        checkEmptyDoubleBuffer(buffer)
+        checkBufferShapeConsistency(shape, buffer)
+        return DoubleTensor(shape, buffer, 0)
+    }
+
+
     override operator fun DoubleTensor.get(i: Int): DoubleTensor {
         val lastShape = this.shape.drop(1).toIntArray()
         val newShape = if (lastShape.isNotEmpty()) lastShape else intArrayOf(1)
@@ -53,13 +63,11 @@ public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, Dou
     override fun DoubleTensor.plus(value: Double): DoubleTensor = value + this
 
     override fun DoubleTensor.plus(other: DoubleTensor): DoubleTensor {
-        val broadcast = broadcastTensors(this, other)
-        val newThis = broadcast[0]
-        val newOther = broadcast[1]
-        val resBuffer = DoubleArray(newThis.strides.linearSize) { i ->
-            newThis.buffer.array()[i] + newOther.buffer.array()[i]
+        checkShapesCompatible(this, other)
+        val resBuffer = DoubleArray(this.strides.linearSize) { i ->
+            this.buffer.array()[i] + other.buffer.array()[i]
         }
-        return DoubleTensor(newThis.shape, resBuffer)
+        return DoubleTensor(this.shape, resBuffer)
     }
 
     override fun DoubleTensor.plusAssign(value: Double) {
@@ -69,10 +77,10 @@ public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, Dou
     }
 
     override fun DoubleTensor.plusAssign(other: DoubleTensor) {
-        val newOther = broadcastTo(other, this.shape)
+        checkShapesCompatible(this, other)
         for (i in 0 until this.strides.linearSize) {
             this.buffer.array()[this.bufferStart + i] +=
-                newOther.buffer.array()[this.bufferStart + i]
+                other.buffer.array()[this.bufferStart + i]
         }
     }
 
@@ -91,13 +99,11 @@ public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, Dou
     }
 
     override fun DoubleTensor.minus(other: DoubleTensor): DoubleTensor {
-        val broadcast = broadcastTensors(this, other)
-        val newThis = broadcast[0]
-        val newOther = broadcast[1]
-        val resBuffer = DoubleArray(newThis.strides.linearSize) { i ->
-            newThis.buffer.array()[i] - newOther.buffer.array()[i]
+        checkShapesCompatible(this, other)
+        val resBuffer = DoubleArray(this.strides.linearSize) { i ->
+            this.buffer.array()[i] - other.buffer.array()[i]
         }
-        return DoubleTensor(newThis.shape, resBuffer)
+        return DoubleTensor(this.shape, resBuffer)
     }
 
     override fun DoubleTensor.minusAssign(value: Double) {
@@ -107,10 +113,10 @@ public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, Dou
     }
 
     override fun DoubleTensor.minusAssign(other: DoubleTensor) {
-        val newOther = broadcastTo(other, this.shape)
+        checkShapesCompatible(this, other)
         for (i in 0 until this.strides.linearSize) {
             this.buffer.array()[this.bufferStart + i] -=
-                newOther.buffer.array()[this.bufferStart + i]
+                other.buffer.array()[this.bufferStart + i]
         }
     }
 
@@ -124,15 +130,12 @@ public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, Dou
     override fun DoubleTensor.times(value: Double): DoubleTensor = value * this
 
     override fun DoubleTensor.times(other: DoubleTensor): DoubleTensor {
-        val broadcast = broadcastTensors(this, other)
-        val newThis = broadcast[0]
-        val newOther = broadcast[1]
-
-        val resBuffer = DoubleArray(newThis.strides.linearSize) { i ->
-            newThis.buffer.array()[newOther.bufferStart + i] *
-                    newOther.buffer.array()[newOther.bufferStart + i]
+        checkShapesCompatible(this, other)
+        val resBuffer = DoubleArray(this.strides.linearSize) { i ->
+            this.buffer.array()[other.bufferStart + i] *
+                    other.buffer.array()[other.bufferStart + i]
         }
-        return DoubleTensor(newThis.shape, resBuffer)
+        return DoubleTensor(this.shape, resBuffer)
     }
 
     override fun DoubleTensor.timesAssign(value: Double) {
@@ -142,10 +145,40 @@ public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, Dou
     }
 
     override fun DoubleTensor.timesAssign(other: DoubleTensor) {
-        val newOther = broadcastTo(other, this.shape)
+        checkShapesCompatible(this, other)
         for (i in 0 until this.strides.linearSize) {
             this.buffer.array()[this.bufferStart + i] *=
-                newOther.buffer.array()[this.bufferStart + i]
+                other.buffer.array()[this.bufferStart + i]
+        }
+    }
+
+    override fun DoubleTensor.div(value: Double): DoubleTensor {
+        val resBuffer = DoubleArray(this.strides.linearSize) { i ->
+            this.buffer.array()[this.bufferStart + i] / value
+        }
+        return DoubleTensor(this.shape, resBuffer)
+    }
+
+    override fun DoubleTensor.div(other: DoubleTensor): DoubleTensor {
+        checkShapesCompatible(this, other)
+        val resBuffer = DoubleArray(this.strides.linearSize) { i ->
+            this.buffer.array()[other.bufferStart + i] /
+                    other.buffer.array()[other.bufferStart + i]
+        }
+        return DoubleTensor(this.shape, resBuffer)
+    }
+
+    override fun DoubleTensor.divAssign(value: Double) {
+        for (i in 0 until this.strides.linearSize) {
+            this.buffer.array()[this.bufferStart + i] /= value
+        }
+    }
+
+    override fun DoubleTensor.divAssign(other: DoubleTensor) {
+        checkShapesCompatible(this, other)
+        for (i in 0 until this.strides.linearSize) {
+            this.buffer.array()[this.bufferStart + i] /=
+                other.buffer.array()[this.bufferStart + i]
         }
     }
 
@@ -229,27 +262,10 @@ public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, Dou
         TODO("Not yet implemented")
     }
 
-
-    override fun DoubleTensor.div(value: Double): DoubleTensor {
-        TODO("Not yet implemented")
-    }
-
-    override fun DoubleTensor.div(other: DoubleTensor): DoubleTensor {
-        TODO("Not yet implemented")
-    }
-
     override fun DoubleTensor.flatten(startDim: Int, endDim: Int): DoubleTensor {
         TODO("Not yet implemented")
     }
 
-    override fun DoubleTensor.divAssign(value: Double) {
-        TODO("Not yet implemented")
-    }
-
-    override fun DoubleTensor.divAssign(other: DoubleTensor) {
-        TODO("Not yet implemented")
-    }
-
     override fun DoubleTensor.mean(dim: Int, keepDim: Boolean): DoubleTensor {
         TODO("Not yet implemented")
     }
@@ -272,5 +288,6 @@ public open class DoubleTensorAlgebra : TensorPartialDivisionAlgebra<Double, Dou
 
 }
 
+
 public inline fun <R> DoubleTensorAlgebra(block: DoubleTensorAlgebra.() -> R): R =
-    DoubleTensorAlgebra().block()
\ No newline at end of file
+    DoubleTensorAlgebra().block()
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/checks.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/checks.kt
new file mode 100644
index 000000000..f1ae89490
--- /dev/null
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/checks.kt
@@ -0,0 +1,67 @@
+package space.kscience.kmath.tensors.core
+
+import space.kscience.kmath.tensors.TensorAlgebra
+import space.kscience.kmath.tensors.TensorStructure
+
+
+internal inline fun <T, TensorType : TensorStructure<T>,
+        TorchTensorAlgebraType : TensorAlgebra<T, TensorType>>
+        TorchTensorAlgebraType.checkEmptyShape(shape: IntArray): Unit =
+    check(shape.isNotEmpty()) {
+        "Illegal empty shape provided"
+    }
+
+internal inline fun < TensorType : TensorStructure<Double>,
+        TorchTensorAlgebraType : TensorAlgebra<Double, TensorType>>
+        TorchTensorAlgebraType.checkEmptyDoubleBuffer(buffer: DoubleArray): Unit =
+    check(buffer.isNotEmpty()) {
+        "Illegal empty buffer provided"
+    }
+
+internal inline fun < TensorType : TensorStructure<Double>,
+        TorchTensorAlgebraType : TensorAlgebra<Double, TensorType>>
+        TorchTensorAlgebraType.checkBufferShapeConsistency(shape: IntArray, buffer: DoubleArray): Unit =
+    check(buffer.size == shape.reduce(Int::times)) {
+        "Inconsistent shape ${shape.toList()} for buffer of size ${buffer.size} provided"
+    }
+
+
+internal inline fun <T, TensorType : TensorStructure<T>,
+        TorchTensorAlgebraType : TensorAlgebra<T, TensorType>>
+        TorchTensorAlgebraType.checkShapesCompatible(a: TensorType, b: TensorType): Unit =
+    check(a.shape contentEquals b.shape) {
+        "Incompatible shapes ${a.shape.toList()} and ${b.shape.toList()} "
+    }
+
+
+internal inline fun <T, TensorType : TensorStructure<T>,
+        TorchTensorAlgebraType : TensorAlgebra<T, TensorType>>
+        TorchTensorAlgebraType.checkDot(a: TensorType, b: TensorType): Unit {
+    val sa = a.shape
+    val sb = b.shape
+    val na = sa.size
+    val nb = sb.size
+    var status: Boolean
+    if (nb == 1) {
+        status = sa.last() == sb[0]
+    } else {
+        status = sa.last() == sb[nb - 2]
+        if ((na > 2) and (nb > 2)) {
+            status = status and
+                    (sa.take(nb - 2).toIntArray() contentEquals sb.take(nb - 2).toIntArray())
+        }
+    }
+    check(status) { "Incompatible shapes ${sa.toList()} and ${sb.toList()} provided for dot product" }
+}
+
+internal inline fun <T, TensorType : TensorStructure<T>,
+        TorchTensorAlgebraType : TensorAlgebra<T, TensorType>>
+        TorchTensorAlgebraType.checkTranspose(dim: Int, i: Int, j: Int): Unit =
+    check((i < dim) and (j < dim)) {
+        "Cannot transpose $i to $j for a tensor of dim $dim"
+    }
+
+internal inline fun <T, TensorType : TensorStructure<T>,
+        TorchTensorAlgebraType : TensorAlgebra<T, TensorType>>
+        TorchTensorAlgebraType.checkView(a: TensorType, shape: IntArray): Unit =
+    check(a.shape.reduce(Int::times) == shape.reduce(Int::times))
\ No newline at end of file
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/utils.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/utils.kt
new file mode 100644
index 000000000..69c8afde5
--- /dev/null
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/tensors/core/utils.kt
@@ -0,0 +1,36 @@
+package space.kscience.kmath.tensors.core
+
+import space.kscience.kmath.structures.*
+
+
+/**
+ * Returns a reference to [IntArray] containing all of the elements of this [Buffer].
+ */
+internal fun Buffer<Int>.array(): IntArray = when (this) {
+    is IntBuffer -> array
+    else -> throw RuntimeException("Failed to cast Buffer to IntArray")
+}
+
+/**
+ * Returns a reference to [LongArray] containing all of the elements of this [Buffer].
+ */
+internal fun Buffer<Long>.array(): LongArray = when (this) {
+    is LongBuffer -> array
+    else -> throw RuntimeException("Failed to cast Buffer to LongArray")
+}
+
+/**
+ * Returns a reference to [FloatArray] containing all of the elements of this [Buffer].
+ */
+internal fun Buffer<Float>.array(): FloatArray = when (this) {
+    is FloatBuffer -> array
+    else -> throw RuntimeException("Failed to cast Buffer to FloatArray")
+}
+
+/**
+ * Returns a reference to [DoubleArray] containing all of the elements of this [Buffer].
+ */
+internal fun Buffer<Double>.array(): DoubleArray = when (this) {
+    is RealBuffer -> array
+    else -> throw RuntimeException("Failed to cast Buffer to DoubleArray")
+}
diff --git a/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/TestDoubleTensorAlgebra.kt b/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/TestDoubleTensorAlgebra.kt
deleted file mode 100644
index a060a970f..000000000
--- a/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/TestDoubleTensorAlgebra.kt
+++ /dev/null
@@ -1,105 +0,0 @@
-package space.kscience.kmath.tensors
-
-
-import kotlin.test.Test
-import kotlin.test.assertTrue
-
-class TestDoubleTensorAlgebra {
-
-    @Test
-    fun doublePlus() = DoubleTensorAlgebra {
-        val tensor = DoubleTensor(intArrayOf(2), doubleArrayOf(1.0, 2.0))
-        val res = 10.0 + tensor
-        assertTrue(res.buffer.array() contentEquals doubleArrayOf(11.0,12.0))
-    }
-
-    @Test
-    fun transpose1x1() = DoubleTensorAlgebra {
-        val tensor = DoubleTensor(intArrayOf(1), doubleArrayOf(0.0))
-        val res = tensor.transpose(0, 0)
-
-        assertTrue(res.buffer.array() contentEquals doubleArrayOf(0.0))
-        assertTrue(res.shape contentEquals intArrayOf(1))
-    }
-
-    @Test
-    fun transpose3x2() = DoubleTensorAlgebra {
-        val tensor = DoubleTensor(intArrayOf(3, 2), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
-        val res = tensor.transpose(1, 0)
-
-        assertTrue(res.buffer.array() contentEquals doubleArrayOf(1.0, 3.0, 5.0, 2.0, 4.0, 6.0))
-        assertTrue(res.shape contentEquals intArrayOf(2, 3))
-    }
-
-    @Test
-    fun transpose1x2x3() = DoubleTensorAlgebra {
-        val tensor = DoubleTensor(intArrayOf(1, 2, 3), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
-        val res01 = tensor.transpose(0, 1)
-        val res02 = tensor.transpose(0, 2)
-        val res12 = tensor.transpose(1, 2)
-
-        assertTrue(res01.shape contentEquals intArrayOf(2, 1, 3))
-        assertTrue(res02.shape contentEquals intArrayOf(3, 2, 1))
-        assertTrue(res12.shape contentEquals intArrayOf(1, 3, 2))
-
-        assertTrue(res01.buffer.array() contentEquals doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
-        assertTrue(res02.buffer.array() contentEquals doubleArrayOf(1.0, 4.0, 2.0, 5.0, 3.0, 6.0))
-        assertTrue(res12.buffer.array() contentEquals doubleArrayOf(1.0, 4.0, 2.0, 5.0, 3.0, 6.0))
-    }
-
-    @Test
-    fun broadcastShapes() = DoubleTensorAlgebra {
-        assertTrue(broadcastShapes(
-            intArrayOf(2, 3), intArrayOf(1, 3), intArrayOf(1, 1, 1)
-        ) contentEquals intArrayOf(1, 2, 3))
-
-        assertTrue(broadcastShapes(
-            intArrayOf(6, 7), intArrayOf(5, 6, 1), intArrayOf(7,), intArrayOf(5, 1, 7)
-        ) contentEquals intArrayOf(5, 6, 7))
-    }
-
-    @Test
-    fun broadcastTo() = DoubleTensorAlgebra {
-        val tensor1 = DoubleTensor(intArrayOf(2, 3), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
-        val tensor2 = DoubleTensor(intArrayOf(1, 3), doubleArrayOf(10.0, 20.0, 30.0))
-
-        val res = broadcastTo(tensor2, tensor1.shape)
-        assertTrue(res.shape contentEquals intArrayOf(2, 3))
-        assertTrue(res.buffer.array() contentEquals doubleArrayOf(10.0, 20.0, 30.0, 10.0, 20.0, 30.0))
-    }
-
-    @Test
-    fun broadcastTensors() = DoubleTensorAlgebra {
-        val tensor1 = DoubleTensor(intArrayOf(2, 3), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
-        val tensor2 = DoubleTensor(intArrayOf(1, 3), doubleArrayOf(10.0, 20.0, 30.0))
-        val tensor3 = DoubleTensor(intArrayOf(1, 1, 1), doubleArrayOf(500.0))
-
-        val res = broadcastTensors(tensor1, tensor2, tensor3)
-
-        assertTrue(res[0].shape contentEquals intArrayOf(1, 2, 3))
-        assertTrue(res[1].shape contentEquals intArrayOf(1, 2, 3))
-        assertTrue(res[2].shape contentEquals intArrayOf(1, 2, 3))
-
-        assertTrue(res[0].buffer.array() contentEquals doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
-        assertTrue(res[1].buffer.array() contentEquals doubleArrayOf(10.0, 20.0, 30.0, 10.0, 20.0, 30.0))
-        assertTrue(res[2].buffer.array() contentEquals doubleArrayOf(500.0, 500.0, 500.0, 500.0, 500.0, 500.0))
-    }
-
-    @Test
-    fun minusTensor() = DoubleTensorAlgebra {
-        val tensor1 = DoubleTensor(intArrayOf(2, 3), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
-        val tensor2 = DoubleTensor(intArrayOf(1, 3), doubleArrayOf(10.0, 20.0, 30.0))
-        val tensor3 = DoubleTensor(intArrayOf(1, 1, 1), doubleArrayOf(500.0))
-
-        assertTrue((tensor2 - tensor1).shape contentEquals intArrayOf(2, 3))
-        assertTrue((tensor2 - tensor1).buffer.array() contentEquals doubleArrayOf(9.0, 18.0, 27.0, 6.0, 15.0, 24.0))
-
-        assertTrue((tensor3 - tensor1).shape contentEquals intArrayOf(1, 2, 3))
-        assertTrue((tensor3 - tensor1).buffer.array()
-                contentEquals doubleArrayOf(499.0, 498.0, 497.0, 496.0, 495.0, 494.0))
-
-        assertTrue((tensor3 - tensor2).shape contentEquals intArrayOf(1, 1, 3))
-        assertTrue((tensor3 - tensor2).buffer.array() contentEquals doubleArrayOf(490.0, 480.0, 470.0))
-    }
-
-}
\ No newline at end of file
diff --git a/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestBroadcasting.kt b/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestBroadcasting.kt
new file mode 100644
index 000000000..2633229ea
--- /dev/null
+++ b/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestBroadcasting.kt
@@ -0,0 +1,82 @@
+package space.kscience.kmath.tensors.core
+
+import kotlin.test.Test
+import kotlin.test.assertTrue
+
+class TestBroadcasting {
+
+    @Test
+    fun broadcastShapes() = DoubleTensorAlgebra {
+        assertTrue(
+            broadcastShapes(
+                intArrayOf(2, 3), intArrayOf(1, 3), intArrayOf(1, 1, 1)
+            ) contentEquals intArrayOf(1, 2, 3)
+        )
+
+        assertTrue(
+            broadcastShapes(
+                intArrayOf(6, 7), intArrayOf(5, 6, 1), intArrayOf(7), intArrayOf(5, 1, 7)
+            ) contentEquals intArrayOf(5, 6, 7)
+        )
+    }
+
+    @Test
+    fun broadcastTo() = DoubleTensorAlgebra {
+        val tensor1 = fromArray(intArrayOf(2, 3), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
+        val tensor2 = fromArray(intArrayOf(1, 3), doubleArrayOf(10.0, 20.0, 30.0))
+
+        val res = broadcastTo(tensor2, tensor1.shape)
+        assertTrue(res.shape contentEquals intArrayOf(2, 3))
+        assertTrue(res.buffer.array() contentEquals doubleArrayOf(10.0, 20.0, 30.0, 10.0, 20.0, 30.0))
+    }
+
+    @Test
+    fun broadcastTensors() = DoubleTensorAlgebra {
+        val tensor1 = fromArray(intArrayOf(2, 3), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
+        val tensor2 = fromArray(intArrayOf(1, 3), doubleArrayOf(10.0, 20.0, 30.0))
+        val tensor3 = fromArray(intArrayOf(1, 1, 1), doubleArrayOf(500.0))
+
+        val res = broadcastTensors(tensor1, tensor2, tensor3)
+
+        assertTrue(res[0].shape contentEquals intArrayOf(1, 2, 3))
+        assertTrue(res[1].shape contentEquals intArrayOf(1, 2, 3))
+        assertTrue(res[2].shape contentEquals intArrayOf(1, 2, 3))
+
+        assertTrue(res[0].buffer.array() contentEquals doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
+        assertTrue(res[1].buffer.array() contentEquals doubleArrayOf(10.0, 20.0, 30.0, 10.0, 20.0, 30.0))
+        assertTrue(res[2].buffer.array() contentEquals doubleArrayOf(500.0, 500.0, 500.0, 500.0, 500.0, 500.0))
+    }
+
+    @Test
+    fun minusTensor() = DoubleTensorAlgebra {
+        val tensor1 = fromArray(intArrayOf(2, 3), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
+        val tensor2 = fromArray(intArrayOf(1, 3), doubleArrayOf(10.0, 20.0, 30.0))
+        val tensor3 = fromArray(intArrayOf(1, 1, 1), doubleArrayOf(500.0))
+
+        val tensor21 = broadcastDoubleTensorAlgebra {
+            tensor2 - tensor1
+        }
+
+        val tensor31 = broadcastDoubleTensorAlgebra {
+            tensor3 - tensor1
+        }
+
+        val tensor32 = broadcastDoubleTensorAlgebra {
+            tensor3 - tensor2
+        }
+
+
+        assertTrue(tensor21.shape contentEquals intArrayOf(2, 3))
+        assertTrue(tensor21.buffer.array() contentEquals doubleArrayOf(9.0, 18.0, 27.0, 6.0, 15.0, 24.0))
+
+        assertTrue(tensor31.shape contentEquals intArrayOf(1, 2, 3))
+        assertTrue(
+            tensor31.buffer.array()
+                    contentEquals doubleArrayOf(499.0, 498.0, 497.0, 496.0, 495.0, 494.0)
+        )
+
+        assertTrue(tensor32.shape contentEquals intArrayOf(1, 1, 3))
+        assertTrue(tensor32.buffer.array() contentEquals doubleArrayOf(490.0, 480.0, 470.0))
+    }
+
+}
\ No newline at end of file
diff --git a/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/TestDoubleTensor.kt b/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestDoubleTensor.kt
similarity index 74%
rename from kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/TestDoubleTensor.kt
rename to kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestDoubleTensor.kt
index 6b20027c7..b12b08b52 100644
--- a/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/TestDoubleTensor.kt
+++ b/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestDoubleTensor.kt
@@ -1,4 +1,4 @@
-package space.kscience.kmath.tensors
+package space.kscience.kmath.tensors.core
 
 
 import space.kscience.kmath.nd.as1D
@@ -13,20 +13,20 @@ class TestDoubleTensor {
     @Test
     fun valueTest() = DoubleReduceOpsTensorAlgebra {
         val value = 12.5
-        val tensor = DoubleTensor(intArrayOf(1), doubleArrayOf(value))
+        val tensor = fromArray(intArrayOf(1), doubleArrayOf(value))
         assertEquals(tensor.value(), value)
     }
 
     @Test
-    fun stridesTest(){
-        val tensor = DoubleTensor(intArrayOf(2,2), doubleArrayOf(3.5,5.8,58.4,2.4))
+    fun stridesTest() = DoubleTensorAlgebra {
+        val tensor = fromArray(intArrayOf(2,2), doubleArrayOf(3.5,5.8,58.4,2.4))
         assertEquals(tensor[intArrayOf(0,1)], 5.8)
         assertTrue(tensor.elements().map{ it.second }.toList().toDoubleArray() contentEquals tensor.buffer.toDoubleArray())
     }
 
     @Test
     fun getTest() = DoubleTensorAlgebra {
-        val tensor = DoubleTensor(intArrayOf(1,2,2), doubleArrayOf(3.5,5.8,58.4,2.4))
+        val tensor = fromArray(intArrayOf(1,2,2), doubleArrayOf(3.5,5.8,58.4,2.4))
         val matrix = tensor[0].as2D()
         assertEquals(matrix[0,1], 5.8)
 
diff --git a/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestDoubleTensorAlgebra.kt b/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestDoubleTensorAlgebra.kt
new file mode 100644
index 000000000..8b4d5ca16
--- /dev/null
+++ b/kmath-core/src/commonTest/kotlin/space/kscience/kmath/tensors/core/TestDoubleTensorAlgebra.kt
@@ -0,0 +1,50 @@
+package space.kscience.kmath.tensors.core
+
+
+import kotlin.test.Test
+import kotlin.test.assertTrue
+
+class TestDoubleTensorAlgebra {
+
+    @Test
+    fun doublePlus() = DoubleTensorAlgebra {
+        val tensor = fromArray(intArrayOf(2), doubleArrayOf(1.0, 2.0))
+        val res = 10.0 + tensor
+        assertTrue(res.buffer.array() contentEquals doubleArrayOf(11.0, 12.0))
+    }
+
+    @Test
+    fun transpose1x1() = DoubleTensorAlgebra {
+        val tensor = fromArray(intArrayOf(1), doubleArrayOf(0.0))
+        val res = tensor.transpose(0, 0)
+
+        assertTrue(res.buffer.array() contentEquals doubleArrayOf(0.0))
+        assertTrue(res.shape contentEquals intArrayOf(1))
+    }
+
+    @Test
+    fun transpose3x2() = DoubleTensorAlgebra {
+        val tensor = fromArray(intArrayOf(3, 2), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
+        val res = tensor.transpose(1, 0)
+
+        assertTrue(res.buffer.array() contentEquals doubleArrayOf(1.0, 3.0, 5.0, 2.0, 4.0, 6.0))
+        assertTrue(res.shape contentEquals intArrayOf(2, 3))
+    }
+
+    @Test
+    fun transpose1x2x3() = DoubleTensorAlgebra {
+        val tensor = fromArray(intArrayOf(1, 2, 3), doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
+        val res01 = tensor.transpose(0, 1)
+        val res02 = tensor.transpose(0, 2)
+        val res12 = tensor.transpose(1, 2)
+
+        assertTrue(res01.shape contentEquals intArrayOf(2, 1, 3))
+        assertTrue(res02.shape contentEquals intArrayOf(3, 2, 1))
+        assertTrue(res12.shape contentEquals intArrayOf(1, 3, 2))
+
+        assertTrue(res01.buffer.array() contentEquals doubleArrayOf(1.0, 2.0, 3.0, 4.0, 5.0, 6.0))
+        assertTrue(res02.buffer.array() contentEquals doubleArrayOf(1.0, 4.0, 2.0, 5.0, 3.0, 6.0))
+        assertTrue(res12.buffer.array() contentEquals doubleArrayOf(1.0, 4.0, 2.0, 5.0, 3.0, 6.0))
+    }
+
+}
\ No newline at end of file