Definition of abelian in English:


Syllabification: a·be·li·an
Pronunciation: /əˈbēlyən


(Of a group) having members related by a commutative operation (e.g., a×b = b×a).
More example sentences
  • In 1925 he proved the Krull-Schmidt theorem for decomposing abelian groups of operators.
  • He does provide an example of the decomposition of an abelian group into cosets of a subgroup.
  • In the same year he generalised von Neumann's spectral theorem to locally compact abelian groups.


mid 19th century: named after N. H. Abel (see Abel, Niels Henrik).

Definition of abelian in:

Get more from Oxford Dictionaries

Subscribe to remove adverts and access premium resources

Word of the day bimble
Pronunciation: ˈbɪmb(ə)l
walk or travel at a leisurely pace