English Explanatory Dictionary

abelian

English dictionary entry

Meanings

adj
  1. Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
  2. Of a binary function, commutative.
adj
  1. Alternative letter-case form of abelian.
noun
  1. A member of a sect in fourth-century Africa mentioned by St. Augustine, who states that they married but lived in continence after the manner, as they claimed, of Abel.

Pronunciation

/əˈbi.li.ən/ /əˈbil.jən/ /əˈbiːlɪən/ LL-Q1860 (eng)-Vealhurl-abelian.wav LL-Q1860 (eng)-Vealhurl-abelian2.wav en-ca-abelian.ogg

Word forms

abelian Abelians

Etymology

Etymology tree Norwegian Abel Proto-Indo-European *-nós Proto-Italic *-nos Latin -nus Latin -ānus Latin -iānusbor. English -ian English abelian Name of the Norwegian mathematician Abel + -ian.

Synonyms

Abelite Abelonian

Related words

Tauberian

Derived words

abelian algebra abelian category abelian group abelianization abelianize abelianness abelian operation abelian ring anabelian metabelian nonabelian pre-abelian category quasiabelian semiabelian non-Abelian
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