> [!NOTE] Definition (commutative ring) > A [[Rings|ring]] is *commutative* if the [[Ring Product|ring product]] is [[Commutativity|commutative]]. > > [!Example] Example > The set of [[Integers|integers]] $\mathbb{Z}$ is a ring under integer addition and multiplication. # Properties A [[Field (Algebra)|field]] is a commutative ring if each non-zero element is a unit. An [[Integral Domain|integral domain]] ...