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commutative algebras

commutative algebras is the plural of commutative algebra.

Meaning of commutative algebra

Noun

commutative algebra (countable and uncountable, plural commutative algebras)

  1. The branch of algebra concerned with commutative rings and objects related to them (such as ideals and modules).
    • The subject of these notes is a part of commutative algebra, and is also closely related to certain topics in algebraic number theory and algebraic geometry.1992, Cornelius Greither, Cyclic Galois Extensions of Commutative Rings, Springer, page vii
  2. Any algebra (mathematical structure) in which the multiplication operation is commutative.
    • Theorem. If the complex of the linearly independent numbers of the form #92;zetaa-a#92;zeta be deleted from an algebra, the remaining numbers form a commutative algebra.1907, James Byrnie Shaw, Synopsis of Linear Associative Algebra, Carnegie Institution of Washington, page 46
    Synonyms:
    Abelian algebra

Questions about commutative algebras

What is commutative algebras the plural of?
Commutative algebras is the plural of commutative algebra.

Words near commutative algebras in the dictionary

  1. commutation ticket
  2. commutation tickets
  3. commutations
  4. commutative
  5. commutative algebra
  6. commutative algebras
  7. commutative group
  8. commutative groups
  9. commutative justice
  10. commutative justices
  11. commutative ring

Source and license

Adapted from Wiktionary: commutative algebras (page history and authors); commutative algebra (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.

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