Category:Definitions/Rings with Unity

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This category contains definitions related to Rings with Unity.
Related results can be found in Category:Rings with Unity.


Let $\struct {R, +, \circ}$ be a non-null ring.

Then $\struct {R, +, \circ}$ is a ring with unity if and only if the multiplicative semigroup $\struct {R, \circ}$ has an identity element.

Such an identity element is known as a unity.