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[uh-bee-lee-uh n, uh-beel-yuh n]
See more synonyms for Abelian on Thesaurus.com
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.