Noun Abelian Definition and Examples


Noun:

Abelian

Pronunciation:

/əˈbiːlɪən/

Definition:
1.

adjective

(of a group) having members related by a commutative operation (i.e. a*b = b*a).
  1. 'Schreier showed that the fundamental group of such a space is always abelian.'
  2. 'In 1925 he proved the Krull-Schmidt theorem for decomposing abelian groups of operators.'
  3. 'In the same year he generalised von Neumann's spectral theorem to locally compact abelian groups.'
((n.) Alt. of Abelonian)


Origin:
Mid 19th century: from N. H. Abel (see Abel, Niels Henrik) + -ian.

Similar Nouns to Abelian

List of Nouns that Start with A-Z


List of Nouns that End with A-Z


List of Nouns by Length

3 letters4 letters5 letters6 letters7 letters8 letters9 letters10 letters11 letters12 letters