Definition:Commutative/Algebraic Structure
< Definition:Commutative(Redirected from Definition:Commutative Algebraic Structure)
Jump to navigation
Jump to search
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)
- Results about commutativity can be found here.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): commutative or permutable: 2. (of a structure)