A group or other algebraic object is Abelian (or abelian) if the law of commutativity always holds. The term is named after Norwegian mathematician Niels Henrick Abel (1802-1829).
If an algebraic object is not Abelian, it is said to be non-Abelian.
Abelian
See also
Abelian Category, Abelian Differential, Abelian Function, Abelian Group, Abelian Integral, Abelian Variety, Commutative, Non-AbelianExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Abelian." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Abelian.html