Definition:Commutative/Algebraic Structure

Definition

Let $\struct {S, \circ}$ be an algebraic structure whose operation $\circ$ is a commutative operation.

Then $\struct {S, \circ}$ is a commutative (algebraic) structure.

Also known as

The terms permute and permutable can sometimes be seen instead of commute and commutative.

Also see

• Definition:Commutative Semigroup
• Definition:Commutative Monoid
• Definition:Abelian Group
• Definition:Commutative Ring
• Definition:Commutative and Unitary Ring
• Definition:Commutative Division Ring
• Definition:Commutative Algebra (Abstract Algebra)