Category:Definitions/Examples of Rings

This category contains definitions of examples of rings in the context of Abstract Algebra.

A ring $\struct {R, *, \circ}$ is a semiring in which $\struct {R, *}$ forms an abelian group.

That is, in addition to $\struct {R, *}$ being closed, associative and commutative under $*$, it also has an identity, and each element has an inverse.