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:Non-Associative Algebra

Weaker properties

• Definition:Ringoid (Abstract Algebra)

Stronger properties

• Definition:Non-Associative Ring with Unity
• Definition:Ring (Abstract Algebra)
• Definition:Ring with Unity
• Definition:Commutative Ring with Unity

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