##### Wiktionary

**commutative ring**

n. (context algebra ring theory English) A ring#Etymology_3 whose multiplicative operation is commutative.

##### Wikipedia

**Commutative ring**

In ring theory, a branch of abstract algebra, a **commutative ring** is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra.

Some specific kinds of commutative rings are given with the following chain of class inclusions: