We demonstrate an equivalence between general types of Grothendieck categories and specific subcategories of the category of modules over certain endomorphism rings. This will yield as corollaries the equivalence results of Cohen-Montgomery and del Río. In addition, this equivalence also yields information about the graded modules over rings graded by categories.
Categorical equivalences and realization theorems
MENINI, Claudia
1996
Abstract
We demonstrate an equivalence between general types of Grothendieck categories and specific subcategories of the category of modules over certain endomorphism rings. This will yield as corollaries the equivalence results of Cohen-Montgomery and del Río. In addition, this equivalence also yields information about the graded modules over rings graded by categories.File in questo prodotto:
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