abelian

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)

  1. (mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation. [Mid 19th century.][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.
  2. (mathematics) Of a binary function, commutative.

Derived terms

Translations

See also

References

  1. ^ 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.

Anagrams

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