Generalized local ring

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Definition

Symbol-free definition

A positively graded commutative unital ring R is termed a generalized local ring if its degree 0 part is local and Noetherian, and R is a finitely generated as an algebra over its degree 0 part.

Metaproperties

Uniqueness of maximal ideal

A generalized local ring has a unique maximal homogeneous ideal.

Relation with other properties

Stronger properties