Definition:Non-Associative Ring with Unity

Definition
A non-associative ring with unity is a non-associative ring $\struct {R, +, \times}$ such that $\struct {R, \times}$ is a unitary magma.

Also see

 * Definition:Unital Algebra

Weaker properties

 * Definition:Ringoid (Abstract Algebra)
 * Definition:Non-Associative Semiring
 * Definition:Non-Associative Ring

Stronger properties

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