• synonyms


[uh-bee-lee-uh n, uh-beel-yuh n]
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.
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Origin of Abelian

First recorded in 1905–10; Abel + -ian
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

Examples from the Web for abelian

Historical Examples

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

    Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6


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