Definition:Non-Associative Ring

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

Also see

 * Definition:Nonassociative Algebra

Weaker properties

 * Definition:Ringoid (Abstract Algebra)

Stronger properties

 * Definition:Nonassociative Ring with Unity
 * Definition:Ring (Abstract Algebra)
 * Definition:Ring with Unity
 * Definition:Commutative Ring with Unity