Abelian Semigroup

An Abelian semigroup is a set whose elements are related by a binary operation (such as addition, rotation, etc.) that is closed, associative, and commutative.

A mathematical joke involving Abelian semigroups is given by Renteln and Dundes (2005).

Q: What's purple and commutes? A: An Abelian grape.

Q: What is lavender and commutes? A: An Abelian semigrape.

See also

Abelian Group, Semigroup

Portions of this entry contributed by George Hrabovsky

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Renteln, P. and Dundes, A. "Foolproof: A Sampling of Mathematical Folk Humor." Notices Amer. Math. Soc. 52, 24-34, 2005.

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Abelian Semigroup

Cite this as:

Hrabovsky, George and Weisstein, Eric W. "Abelian Semigroup." From MathWorld--A Wolfram Web Resource.

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