noun
commutative ring
A ring in which multiplication is commutative. Used in abstract algebra.
整数全体の集合は可換環の一例である。
The set of all integers is an example of a commutative ring.
可換環論は代数幾何学の基礎を
Commutative ring theory forms the foundation of algebraic geometry.
非可換環 (noncommutative ring) is a ring where multiplication is not necessarily commutative.
Compound of 可換 (commutative) + 環 (ring), a calque from English 'commutative ring'.