abelian
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See also: Abelian
English
Etymology
Name of the Norwegian mathematician Abel + -ian.
Pronunciation
- (US) IPA(key): /əˈbi.li.ən/, /əˈbil.jən/, /əˈbiːlɪən/
Audio (Southern England): (file) Audio (Southern England): (file) Audio (Canada): (file) - Rhymes: -iən
- Rhymes: -ɪljən
- Rhymes: -iːliən
Adjective
abelian (not comparable)
- (mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation. [1]
- 1996, Barry Simon, Representations of Finite and Compact Groups, page 50:
- The interesting aspect here is that U3 is irreducible, even though all irreps over the complexes are one-dimensional because ℤ4 is abelian.
- (mathematics) Of a binary function, commutative.
Derived terms
Translations
math: of an algebraic structure
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See also
References
- ^ Lesley Brown, editor-in-chief, William R. Trumble and Angus Stevenson, editors (2002), “abelian”, in The Shorter Oxford English Dictionary on Historical Principles, 5th edition, Oxford, New York, N.Y.: Oxford University Press, →ISBN, page 3.