diff --git a/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/algebras.kt b/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/algebras.kt
index deea592d4..fa164df29 100644
--- a/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/algebras.kt
+++ b/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/algebras.kt
@@ -1,6 +1,6 @@
 /*
  * Copyright 2018-2021 KMath contributors.
- * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ * Use of this.cast() source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
  */
 
 package space.kscience.kmath.noa
@@ -20,18 +20,56 @@ constructor(protected val scope: NoaScope) : TensorAlgebra<T> {
     protected abstract fun wrap(tensorHandle: TensorHandle): TensorType
 
     /**
-     * A scalar tensor in this implementation must have empty shape
+     * A scalar tensor in this.cast() implementation must have empty shape
      */
     override fun Tensor<T>.valueOrNull(): T? =
-        try { this.cast().item() } catch (e: NoaException) { null }
+        try {
+            this.cast().cast().item()
+        } catch (e: NoaException) {
+            null
+        }
 
-    override fun Tensor<T>.value(): T = this.cast().item()
+    override fun Tensor<T>.value(): T = this.cast().cast().item()
+
+    override operator fun Tensor<T>.times(other: Tensor<T>): TensorType {
+        return wrap(JNoa.timesTensor(this.cast().tensorHandle, other.cast().tensorHandle))
+    }
+
+    override operator fun Tensor<T>.timesAssign(other: Tensor<T>): Unit {
+        JNoa.timesTensorAssign(this.cast().tensorHandle, other.cast().tensorHandle)
+    }
+
+    override operator fun Tensor<T>.plus(other: Tensor<T>): TensorType {
+        return wrap(JNoa.plusTensor(this.cast().tensorHandle, other.cast().tensorHandle))
+    }
+
+    override operator fun Tensor<T>.plusAssign(other: Tensor<T>): Unit {
+        JNoa.plusTensorAssign(this.cast().tensorHandle, other.cast().tensorHandle)
+    }
+
+    override operator fun Tensor<T>.minus(other: Tensor<T>): TensorType {
+        return wrap(JNoa.minusTensor(this.cast().tensorHandle, other.cast().tensorHandle))
+    }
+
+    override operator fun Tensor<T>.minusAssign(other: Tensor<T>): Unit {
+        JNoa.minusTensorAssign(this.cast().tensorHandle, other.cast().tensorHandle)
+    }
+
+    override operator fun Tensor<T>.unaryMinus(): TensorType =
+        wrap(JNoa.unaryMinus(this.cast().tensorHandle))
 }
 
 public abstract class NoaPartialDivisionAlgebra<T, TensorType : NoaTensor<T>>
 internal constructor(scope: NoaScope) : NoaAlgebra<T, TensorType>(scope), LinearOpsTensorAlgebra<T>,
     AnalyticTensorAlgebra<T> {
 
+    override operator fun Tensor<T>.div(other: Tensor<T>): TensorType {
+        return wrap(JNoa.divTensor(this.cast().tensorHandle, other.cast().tensorHandle))
+    }
+
+    override operator fun Tensor<T>.divAssign(other: Tensor<T>): Unit {
+        JNoa.divTensorAssign(this.cast().tensorHandle, other.cast().tensorHandle)
+    }
 
 }