nonassociative ring

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nonassociative ring

[‚nän·ə¦sō·shəd·əv ′riŋ]
(mathematics)
A generalization of the concept of a ring; it is an algebraic system with two binary operations called addition and multiplication such that the system is a commutative group relative to addition, and multiplication is distributive with respect to addition, but multiplication is not assumed to be associative.
References in periodicals archive ?
Giambruno and Zaicey show how to combine methods of ring theory, combinatorics and representation theory of groups with an analytical approach to study the polynomial identities satisfied by a given algebra, In the process they describe such topics as polynomial identities and PI-algebras, Sn-representations, group gradings and group actions, codimentation and colength growth, matrix invariants and central polynomials, the PI-exponent of an algebra, polynomial growth the low PI-exponent, classifying minimal variables, computing the exponent of a polynomial, G-identities and related action, superalgebras, 8-algebras and codimension growth, Lie algebras and non-associative algebras, and in an appendix, the generalized six-square theorem.

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