Definition:Graded Ring

Definition

Let $M$ be a semigroup.

An $M$-graded ring is a pair $\struct {R, f}$ where:

$R$ is a ring

$f$ is a gradation of type $M$ on the additive group of $R$ which is compatible with the ring structure of $R$.

Also known as

An $M$-graded ring is also known as a graded ring of type $M$.

Also see

• Definition:Graded Ring Homomorphism

Special cases

• Definition:N-Graded Ring
• Definition:Z-Graded Ring

Sources

There are no source works cited for this page. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.