Generalized local ring: Difference between revisions
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Latest revision as of 19:14, 3 January 2009
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.