diff --git a/src/compute/arithmetics/basic/mod.rs b/src/compute/arithmetics/basic/mod.rs
index 7ce27f29939..95d4ff4e0e1 100644
--- a/src/compute/arithmetics/basic/mod.rs
+++ b/src/compute/arithmetics/basic/mod.rs
@@ -1,7 +1,19 @@
-//! Defines the arithmetic kernels for `PrimitiveArrays`.
-pub mod add;
-pub mod div;
-pub mod mul;
-pub mod pow;
-pub mod rem;
-pub mod sub;
+//! Contains arithemtic functions for [`PrimitiveArray`](crate::array::PrimitiveArray)s.
+//!
+//! Each operation has four variants, like the rest of Rust's ecosystem:
+//! * usual, that [`panic!`]s on overflow
+//! * `checked_*` that turns overflowings to `None`
+//! * `overflowing_*` returning a [`Bitmap`](crate::bitmap::Bitmap) with items that overflow.
+//! * `saturating_*` that saturates the result.
+mod add;
+pub use add::*;
+mod div;
+pub use div::*;
+mod mul;
+pub use mul::*;
+mod pow;
+pub use pow::*;
+mod rem;
+pub use rem::*;
+mod sub;
+pub use sub::*;
diff --git a/src/compute/arithmetics/mod.rs b/src/compute/arithmetics/mod.rs
index 8475055b771..99378716cab 100644
--- a/src/compute/arithmetics/mod.rs
+++ b/src/compute/arithmetics/mod.rs
@@ -250,11 +250,11 @@ where
         + Rem<Output = T>,
 {
     match op {
-        Operator::Add => basic::add::add(lhs, rhs),
-        Operator::Subtract => basic::sub::sub(lhs, rhs),
-        Operator::Multiply => basic::mul::mul(lhs, rhs),
-        Operator::Divide => basic::div::div(lhs, rhs),
-        Operator::Remainder => basic::rem::rem(lhs, rhs),
+        Operator::Add => basic::add(lhs, rhs),
+        Operator::Subtract => basic::sub(lhs, rhs),
+        Operator::Multiply => basic::mul(lhs, rhs),
+        Operator::Divide => basic::div(lhs, rhs),
+        Operator::Remainder => basic::rem(lhs, rhs),
     }
 }
 
@@ -275,11 +275,11 @@ where
         + NumCast,
 {
     match op {
-        Operator::Add => Ok(basic::add::add_scalar(lhs, rhs)),
-        Operator::Subtract => Ok(basic::sub::sub_scalar(lhs, rhs)),
-        Operator::Multiply => Ok(basic::mul::mul_scalar(lhs, rhs)),
-        Operator::Divide => Ok(basic::div::div_scalar(lhs, rhs)),
-        Operator::Remainder => Ok(basic::rem::rem_scalar(lhs, rhs)),
+        Operator::Add => Ok(basic::add_scalar(lhs, rhs)),
+        Operator::Subtract => Ok(basic::sub_scalar(lhs, rhs)),
+        Operator::Multiply => Ok(basic::mul_scalar(lhs, rhs)),
+        Operator::Divide => Ok(basic::div_scalar(lhs, rhs)),
+        Operator::Remainder => Ok(basic::rem_scalar(lhs, rhs)),
     }
 }
 
diff --git a/tests/it/compute/aggregate/sum.rs b/tests/it/compute/aggregate/sum.rs
index 1ad77afc086..b677397d219 100644
--- a/tests/it/compute/aggregate/sum.rs
+++ b/tests/it/compute/aggregate/sum.rs
@@ -46,7 +46,7 @@ fn test_primitive_array_sum_large_64() {
         .map(|i| if i % 3 == 0 { Some(0) } else { Some(i) })
         .collect();
     // create an array that actually has non-zero values at the invalid indices
-    let c = arithmetics::basic::add::add(&a, &b).unwrap();
+    let c = arithmetics::add::add(&a, &b).unwrap();
     assert_eq!(
         Some((1..=100).filter(|i| i % 3 == 0).sum()),
         sum_primitive(&c)
diff --git a/tests/it/compute/arithmetics/basic/add.rs b/tests/it/compute/arithmetics/basic/add.rs
index aa563cbbe47..32ccb5a0230 100644
--- a/tests/it/compute/arithmetics/basic/add.rs
+++ b/tests/it/compute/arithmetics/basic/add.rs
@@ -1,6 +1,6 @@
 use arrow2::array::*;
 use arrow2::bitmap::Bitmap;
-use arrow2::compute::arithmetics::basic::add::*;
+use arrow2::compute::arithmetics::basic::*;
 use arrow2::compute::arithmetics::{
     ArrayAdd, ArrayCheckedAdd, ArrayOverflowingAdd, ArraySaturatingAdd,
 };
diff --git a/tests/it/compute/arithmetics/basic/div.rs b/tests/it/compute/arithmetics/basic/div.rs
index 98500dfbc05..6fd00c7bf4f 100644
--- a/tests/it/compute/arithmetics/basic/div.rs
+++ b/tests/it/compute/arithmetics/basic/div.rs
@@ -1,5 +1,5 @@
 use arrow2::array::*;
-use arrow2::compute::arithmetics::basic::div::*;
+use arrow2::compute::arithmetics::basic::*;
 use arrow2::compute::arithmetics::{ArrayCheckedDiv, ArrayDiv};
 
 #[test]
diff --git a/tests/it/compute/arithmetics/basic/mul.rs b/tests/it/compute/arithmetics/basic/mul.rs
index fa3ba7e8e73..5c2b8e57a58 100644
--- a/tests/it/compute/arithmetics/basic/mul.rs
+++ b/tests/it/compute/arithmetics/basic/mul.rs
@@ -1,6 +1,6 @@
 use arrow2::array::*;
 use arrow2::bitmap::Bitmap;
-use arrow2::compute::arithmetics::basic::mul::*;
+use arrow2::compute::arithmetics::basic::*;
 use arrow2::compute::arithmetics::{
     ArrayCheckedMul, ArrayMul, ArrayOverflowingMul, ArraySaturatingMul,
 };
diff --git a/tests/it/compute/arithmetics/basic/pow.rs b/tests/it/compute/arithmetics/basic/pow.rs
index f73d0db5fee..e6ce52b03fb 100644
--- a/tests/it/compute/arithmetics/basic/pow.rs
+++ b/tests/it/compute/arithmetics/basic/pow.rs
@@ -1,5 +1,5 @@
 use arrow2::array::*;
-use arrow2::compute::arithmetics::basic::pow::*;
+use arrow2::compute::arithmetics::basic::*;
 
 #[test]
 fn test_raise_power_scalar() {
diff --git a/tests/it/compute/arithmetics/basic/rem.rs b/tests/it/compute/arithmetics/basic/rem.rs
index 1001d9fe8c6..e5a487b4f16 100644
--- a/tests/it/compute/arithmetics/basic/rem.rs
+++ b/tests/it/compute/arithmetics/basic/rem.rs
@@ -1,5 +1,5 @@
 use arrow2::array::*;
-use arrow2::compute::arithmetics::basic::rem::*;
+use arrow2::compute::arithmetics::basic::*;
 use arrow2::compute::arithmetics::{ArrayCheckedRem, ArrayRem};
 
 #[test]
diff --git a/tests/it/compute/arithmetics/basic/sub.rs b/tests/it/compute/arithmetics/basic/sub.rs
index 53e15dad932..5c638c6e596 100644
--- a/tests/it/compute/arithmetics/basic/sub.rs
+++ b/tests/it/compute/arithmetics/basic/sub.rs
@@ -1,6 +1,6 @@
 use arrow2::array::*;
 use arrow2::bitmap::Bitmap;
-use arrow2::compute::arithmetics::basic::sub::*;
+use arrow2::compute::arithmetics::basic::*;
 use arrow2::compute::arithmetics::{
     ArrayCheckedSub, ArrayOverflowingSub, ArraySaturatingSub, ArraySub,
 };