Definition:Commutative Semigroup

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Let $\struct {S, \circ}$ be a semigroup such that the operation $\circ$ is a commutative operation.

Then $\struct {S, \circ}$ is a commutative semigroup.

Also known as

Some authors refer to a commutative semigroup as an abelian semigroup.

However, the term abelian is usually reserved for commutative groups.

Also see

  • Results about commutative semigroups can be found here.