Movatterモバイル変換


[0]ホーム

URL:


Jump to content
WiktionaryThe Free Dictionary
Search

Abelian

From Wiktionary, the free dictionary
See also:abelian

English

[edit]

Etymology

[edit]

FromAbel +‎-ian.

Adjective

[edit]

Abelian (notcomparable)

  1. (mathematics, group theory, dated)Alternativeletter-case form ofabelian.
    • 1904, Florian Cajori,An Introduction to the Modern Theory of Equations, The MacMillan Company,page214:
      Ex. 2. Show by §§ 187, 188 that there can be no transitiveAbelian group of prime degree other than the cyclic group, and that there is no irreducibleAbelian equation of prime degree other than the cyclic equation.
    • 1914, Charles Gustave Paul Kuschke,The Abelian Equations of the Tenth Degree Irreducible in a Given Domain of Rationality,University of California Press,page118:
      All irreducibleAbelian equations of the tenth order belong to the cyclical group of order ten,[].
    • 2004, Friedrich Kasch, Adolf Mader,Rings, Modules, and the Total[1], Springer (Birkhäuser), page101:
      In this chapter "group" means torsion freeAbelian group. The "bible" ofAbelian group theory is the two volume work of Fuchs [11].

Derived terms

[edit]

Noun

[edit]

Abelian (pluralAbelians)

  1. (Christianity, historical) A member of asect in fourth-century Africa mentioned by St.Augustine, who states that they married but lived incontinence after the manner, as theyclaimed, ofAbel.
    • 1826, unnamed translator,Pierre Bayle,An Historical and Critical Dictionary [1697,Dictionnaire Historique et Critique; 1709,Historical and Critical Dictionary], Selected and Abridged, Volume 1,page 50,
      TheAbelians were only a moderate sort of Encratites and Novatians, who absolutely condemned matrimony, while theAbelians approved of and retained it.
    • 1833, James Flamank,A Treatise on Happiness,page222:
      A difference of opinion existed as to the moral effects of matrimony among the early Christians; theAbelians, for instance, suffered no member of their sect to remain single, while the Novatians condemned marriage under every circumstance.
    • 1951,Reginald Reynolds,Beds: with many noteworthy instances of lying on, under, or about them, Doubleday,page256:
      If we include heretical sects there is perhaps some similarity to be traced between the syneisaktism of certain Catholic enthusiasts and the customs of theAbelians or Abelonians, who took their name from Abel.

Synonyms

[edit]

Translations

[edit]
member of a sect living like Abel

Anagrams

[edit]
Retrieved from "https://en.wiktionary.org/w/index.php?title=Abelian&oldid=85297059"
Categories:
Hidden categories:

[8]ページ先頭

©2009-2025 Movatter.jp