Abelian

[ uh-bee-lee-uhn, uh-beel-yuhn ]

adjective

, Mathematics.

1. of or relating to Niels Henrik Abel or his theorems.
2. pertaining to an algebraic system in which an operation is commutative:

   an Abelian group.

3. pertaining to such an operation.

Word History and Origins

Origin of Abelian¹

First recorded in 1905–10; Abel + -ian

Example Sentences

A group whose operations are all permutable with each other is called an Abelian group.

From Project Gutenberg

An Abelian group contains subgroups whose orders are any given factors of the order of the group.

From Project Gutenberg