nonassociative
Collocations
4ADJ.
important
VERB + NONASSOCIATIVE
carried, functions
NONASSOCIATIVE + NOUN
theory
PREP.
in, out
Definitions
adj
Not associative.
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.
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.
Thesaurus
Synonyms
Antonyms
- associative
- associatory
Idioms & Phrases
Example Bank
3This 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.
Wiktionary1996, 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 elemen
Wiktionary2012, 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 construct
Wiktionary