diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/misc/cumulative.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/misc/cumulative.kt
index b50e095cf..6466695a6 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/misc/cumulative.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/misc/cumulative.kt
@@ -37,8 +37,8 @@ public fun <T, R> List<T>.cumulative(initial: R, operation: (R, T) -> R): List<R
 /**
  * Cumulative sum with custom space
  */
-public fun <T> Iterable<T>.cumulativeSum(space: Group<T>): Iterable<T> =
-    space { cumulative(zero) { element: T, sum: T -> sum + element } }
+public fun <T> Iterable<T>.cumulativeSum(group: Group<T>): Iterable<T> =
+    group { cumulative(zero) { element: T, sum: T -> sum + element } }
 
 @JvmName("cumulativeSumOfDouble")
 public fun Iterable<Double>.cumulativeSum(): Iterable<Double> = cumulative(0.0) { element, sum -> sum + element }
@@ -49,8 +49,8 @@ public fun Iterable<Int>.cumulativeSum(): Iterable<Int> = cumulative(0) { elemen
 @JvmName("cumulativeSumOfLong")
 public fun Iterable<Long>.cumulativeSum(): Iterable<Long> = cumulative(0L) { element, sum -> sum + element }
 
-public fun <T> Sequence<T>.cumulativeSum(space: Group<T>): Sequence<T> =
-    space { cumulative(zero) { element: T, sum: T -> sum + element } }
+public fun <T> Sequence<T>.cumulativeSum(group: Group<T>): Sequence<T> =
+    group { cumulative(zero) { element: T, sum: T -> sum + element } }
 
 @JvmName("cumulativeSumOfDouble")
 public fun Sequence<Double>.cumulativeSum(): Sequence<Double> = cumulative(0.0) { element, sum -> sum + element }
@@ -61,8 +61,8 @@ public fun Sequence<Int>.cumulativeSum(): Sequence<Int> = cumulative(0) { elemen
 @JvmName("cumulativeSumOfLong")
 public fun Sequence<Long>.cumulativeSum(): Sequence<Long> = cumulative(0L) { element, sum -> sum + element }
 
-public fun <T> List<T>.cumulativeSum(space: Group<T>): List<T> =
-    space { cumulative(zero) { element: T, sum: T -> sum + element } }
+public fun <T> List<T>.cumulativeSum(group: Group<T>): List<T> =
+    group { cumulative(zero) { element: T, sum: T -> sum + element } }
 
 @JvmName("cumulativeSumOfDouble")
 public fun List<Double>.cumulativeSum(): List<Double> = cumulative(0.0) { element, sum -> sum + element }
diff --git a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/algebraExtensions.kt b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/algebraExtensions.kt
index 9a395b0f4..b927655e3 100644
--- a/kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/algebraExtensions.kt
+++ b/kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/algebraExtensions.kt
@@ -49,19 +49,19 @@ public fun <T : Comparable<T>> Group<T>.abs(value: T): T = if (value > zero) val
  * Returns the sum of all elements in the iterable in provided space.
  *
  * @receiver the collection to sum up.
- * @param space the algebra that provides addition.
+ * @param group the algebra that provides addition.
  * @return the sum.
  */
-public fun <T> Iterable<T>.sumWith(space: Group<T>): T = space.sum(this)
+public fun <T> Iterable<T>.sumWith(group: Group<T>): T = group.sum(this)
 
 /**
  * Returns the sum of all elements in the sequence in provided space.
  *
  * @receiver the collection to sum up.
- * @param space the algebra that provides addition.
+ * @param group the algebra that provides addition.
  * @return the sum.
  */
-public fun <T> Sequence<T>.sumWith(space: Group<T>): T = space.sum(this)
+public fun <T> Sequence<T>.sumWith(group: Group<T>): T = group.sum(this)
 
 /**
  * Returns an average value of elements in the iterable in this [Group].
diff --git a/kmath-coroutines/src/commonMain/kotlin/space/kscience/kmath/chains/flowExtra.kt b/kmath-coroutines/src/commonMain/kotlin/space/kscience/kmath/chains/flowExtra.kt
index 81b4327fc..7d4914a01 100644
--- a/kmath-coroutines/src/commonMain/kotlin/space/kscience/kmath/chains/flowExtra.kt
+++ b/kmath-coroutines/src/commonMain/kotlin/space/kscience/kmath/chains/flowExtra.kt
@@ -14,7 +14,7 @@ public fun <T> Flow<T>.cumulativeSum(group: GroupOperations<T>): Flow<T> =
     group { runningReduce { sum, element -> sum + element } }
 
 @ExperimentalCoroutinesApi
-public fun <T, S> Flow<T>.mean(algebra: S): Flow<T> where S : Group<T>, S : ScaleOperations<T> = algebra {
+public fun <T, S> Flow<T>.mean(space: S): Flow<T> where S : Group<T>, S : ScaleOperations<T> = space {
     data class Accumulator(var sum: T, var num: Int)
 
     scan(Accumulator(zero, 0)) { sum, element ->
diff --git a/kmath-histograms/src/commonMain/kotlin/space/kscience/kmath/histogram/Counter.kt b/kmath-histograms/src/commonMain/kotlin/space/kscience/kmath/histogram/Counter.kt
index 616a72fde..764ff116c 100644
--- a/kmath-histograms/src/commonMain/kotlin/space/kscience/kmath/histogram/Counter.kt
+++ b/kmath-histograms/src/commonMain/kotlin/space/kscience/kmath/histogram/Counter.kt
@@ -37,11 +37,11 @@ public class LongCounter : Counter<Long> {
     override val value: Long get() = innerValue.value
 }
 
-public class ObjectCounter<T : Any>(public val space: Group<T>) : Counter<T> {
-    private val innerValue = atomic(space.zero)
+public class ObjectCounter<T : Any>(public val group: Group<T>) : Counter<T> {
+    private val innerValue = atomic(group.zero)
 
     override fun add(delta: T) {
-        innerValue.getAndUpdate { space.run { it + delta } }
+        innerValue.getAndUpdate { group.run { it + delta } }
     }
 
     override val value: T get() = innerValue.value
diff --git a/kmath-stat/src/commonMain/kotlin/space/kscience/kmath/stat/Statistic.kt b/kmath-stat/src/commonMain/kotlin/space/kscience/kmath/stat/Statistic.kt
index 8bf6b09ef..689182115 100644
--- a/kmath-stat/src/commonMain/kotlin/space/kscience/kmath/stat/Statistic.kt
+++ b/kmath-stat/src/commonMain/kotlin/space/kscience/kmath/stat/Statistic.kt
@@ -66,16 +66,16 @@ public fun <T, I, R> ComposableStatistic<T, I, R>.flow(
  * Arithmetic mean
  */
 public class Mean<T>(
-    private val space: Group<T>,
+    private val group: Group<T>,
     private val division: (sum: T, count: Int) -> T,
 ) : ComposableStatistic<T, Pair<T, Int>, T> {
     public override suspend fun computeIntermediate(data: Buffer<T>): Pair<T, Int> =
-        space { sum(data.asIterable()) } to data.size
+        group { sum(data.asIterable()) } to data.size
 
     public override suspend fun composeIntermediate(first: Pair<T, Int>, second: Pair<T, Int>): Pair<T, Int> =
-        space { first.first + second.first } to (first.second + second.second)
+        group { first.first + second.first } to (first.second + second.second)
 
-    public override suspend fun toResult(intermediate: Pair<T, Int>): T = space {
+    public override suspend fun toResult(intermediate: Pair<T, Int>): T = group {
         division(intermediate.first, intermediate.second)
     }