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

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