We present a collection of finitely generated projective generators for the category of graded modules over a unital semigroup-graded ring. Consequences of the existence of such a collection, as well as other module-theoretic results, will arise from more general constructions involving TTF classes inside Grothendieck categories. For instance, we obtain a description of the category of graded modules whose support lies within a given subset of the semìgroup. © 1994, Taylor & Francis Group, LLC. All rights reserved.
Realization theorems for categories of graded modules over semigroup-graded rings
MENINI, Claudia;
1994
Abstract
We present a collection of finitely generated projective generators for the category of graded modules over a unital semigroup-graded ring. Consequences of the existence of such a collection, as well as other module-theoretic results, will arise from more general constructions involving TTF classes inside Grothendieck categories. For instance, we obtain a description of the category of graded modules whose support lies within a given subset of the semìgroup. © 1994, Taylor & Francis Group, LLC. All rights reserved.File in questo prodotto:
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