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nonassociative

nonassociative adjective: not associative.

Adjective

nonassociative (not comparable)

  1. Not associative.
  2. Whose multiplication operation is not assumed to be associative for all elements.
    • This book has been written about associative algebras. However, there is an analogous “PI-theory” that can be carried out for nonassociative rings, which is outlined here.1980, Lewis Halle Rowen, Polynomial Identities in Ring Theory, Academic Press, page 327
    • Two important functions in nonassociative ring theory are the commutator and associator which, for elements a, b, c in a ring are defined respectively by
      [a, b] = ab − ba
      and
      [a, b, c] = a(bc) − (ab)c.1996, E. G. Goodaire, E. Jespers, C. Polcino Milies, Alternative Loop Rings, Elsevier, page 5

Origin of nonassociative

From non- + associative.

Questions about nonassociative

What does nonassociative mean?
Nonassociative means not associative.
What part of speech is nonassociative?
Nonassociative is an adjective.

Words near nonassociative in the dictionary

  1. nonassisted
  2. nonassistive
  3. nonassociable
  4. nonassociated
  5. nonassociation
  6. nonassociative
  7. nonassociatively
  8. nonassociativity
  9. nonassortative
  10. nonassumption
  11. nonassumptions

Source and license

Adapted from Wiktionary: nonassociative (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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