Nonassociative
Definition, Meaning & Examples
Part of speech adjective
Quick meaning: Nonassociative is an adjective meaning Not associative.
Meaning
Not associative.
More Meanings
- (algebra, of an algebraic structure) Whose multiplication operation is not assumed to be associative for all elements.
Example Sentences
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.
1996, E. G. Goodaire, E. Jespers, C. Polcino Milies, Alternative Loop Rings, Elsevier, page 5, 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.
2012, W. B. Vasantha Kandasamy, Florentin Smarandache, Non Associative Algebraic Structures Using Finite Complex Numbers, Zip Publishing, page 5, Authors in this book for the first time have constructed nonassociative structures like groupoids, quasi loops, non associative semirings and rings using finite complex modulo integers.
Antonyms for nonassociative
Common opposites include associative, associatory.
Related Words
Related dictionary entries include unassociative, non-associative, nonassociable, nonconnotative, nonoperational, nondissociative.
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Sources & Attribution
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