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 alsoAbelian Group
Portions of this entry contributed by George
Explore with Wolfram|Alpha
ReferencesRenteln, P. and Dundes, A. "Foolproof: A Sampling of Mathematical Folk Humor." Notices Amer. Math. Soc. 52, 24-34,
Referenced on Wolfram|AlphaAbelian Semigroup
Cite this as:
Hrabovsky, George and Weisstein, Eric W. "Abelian Semigroup." From MathWorld--A
Wolfram Web Resource. https://mathworld.wolfram.com/AbelianSemigroup.html