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abelian

From Wiktionary, the free dictionary
See also:Abelian

English

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EnglishWikipedia has an article on:
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Etymology

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Name of the Norwegian mathematicianAbel +‎-ian.

Pronunciation

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Adjective

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abelian (notcomparable)

  1. (mathematics) Of an algebraic structure (usually agroup oralgebra), having acommutative defining operation.[Mid 19th century.][1]
    • 1996, Barry Simon,Representations of Finite and Compact Groups, page50:
      The interesting aspect here is that U3 isirreducible, even though allirreps over thecomplexes are one-dimensional because ℤ4 isabelian.
  2. (mathematics) Of a binary function,commutative.

Derived terms

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Translations

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math: of an algebraic structure

See also

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References

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  1. ^Lesley Brown, editor-in-chief, William R. Trumble and Angus Stevenson, editors (2002), “abelian”, inThe 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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