abelian

 

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abelian

Wikipedia

Name of the Norwegian mathematician Abel +‎ -ian.

• (US) IPA^(key): /əˈbi.li.ən/, /əˈbil.jən/, /əˈbiːlɪən/

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• Rhymes: -iən
• Rhymes: -ɪljən
• Rhymes: -iːliən

abelian (not comparable)

1. (mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation. [Mid 19^th 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.

• Tauberian

• Liébana