nonassociative ring


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.