Word.ws English Dictionary

abelian groups

abelian groups is the plural of abelian group.

Meaning of abelian group

Noun

abelian group (plural abelian groups)

  1. A group in which the group operation is commutative.
    • Let G and H be partially ordered abelian groups. A positive homomorphism from G to H is any abelian group homomorphism f:G→H that maps positive elements to positive elements, that is, f(G⁺)⊆H⁺.1986, Partially Ordered Abelian Groups with Interpolation, American Mathematical Society, 2010 softcover reprint, page 12

Noun capitalized: Abelian groups

Abelian groups

  1. (plural) plural of Abelian group

Questions about abelian groups

What is abelian groups the plural of?
Abelian groups is the plural of abelian group.
What part of speech is abelian groups?
Abelian groups is a noun.

Words near abelian groups in the dictionary

  1. abelian
  2. abelian algebra
  3. abelian algebras
  4. abelian category
  5. abelian group
  6. abelian groups
  7. abelianisation
  8. abelianisations
  9. abelianise
  10. abelianised
  11. abelianises

Source and license

Adapted from Wiktionary: abelian groups (page history and authors); Abelian groups (page history and authors); abelian group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “abelian groups.” Word.ws, https://word.ws/abelian_groups. Based on Wiktionary, CC BY-SA 4.0.