abelian

形容词 adj.
中文释义
美 /əˈbi.li.ən/|/əˈbil.jən/|/əˈbiːlɪən/

英文释义

形容词 adj.
  1. Of an algebraic structure (usually a group or algebra), having a commutative defining operation. not-comparable
    — The interesting aspect here is that U₃ is irreducible, even though all irreps over the complexes are one-dimensional because ℤ₄ is abelian.
  2. Of a binary function, commutative. not-comparable

词汇关系

衍生词
abelian algebra abelian category abelian group abelianization abelianize abelianness abelian operation abelian ring anabelian metabelian nonabelian pre-abelian category quasiabelian semiabelian
相关词
Tauberian

词源

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.
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