Definition:Non-Associative Ring

Definition
A non-associative ring is a ringoid $(R, +, \times)$ such that $(R, +)$ is an abelian group.

Also see

 * Definition:Nonassociative Algebra

Weaker properties

 * Definition:Ringoid (Abstract Algebra)

Stronger properties

 * Definition:Nonassociative Ring with Unity
 * Definition:Ring
 * Definition:Ring with Unity
 * Definition:Commutative Ring with Unity