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.
1994
G., Abrams; Menini, Claudia; A., del RIO
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/519517
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