Categories of modules graded by \(G\)-sets. Applications
type: Item
instance of: scholarly article
title: Categories of modules graded by \(G\)-sets. Applications
zbMATH Open document ID: 0855.16037
DOI: 10.1016/0022-4049(95)00059-3
published in: Journal of Pure and Applied Algebra
publication date: 1997-01-29T00:00:00Z
review text: If \(R\) is a \(G\)-graded ring and \(X\) is a left \(G\)-set, necessary and sufficient conditions are given such that the category of \(R\)-modules graded by \(X\), \((G,X,R)\text{-gr}\), is equivalent to a category of modules over a ring. It is shown that there are rings satisfying these conditions other than strongly graded rings or rings graded by finite groups.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 908484
zbMATH Keywords: graded rings
zbMATH Keywords: categories of modules
zbMATH Keywords: strongly graded rings
zbMATH Keywords: rings graded by finite groups
author: Margaret Beattie
author: Sorin Dascalescu
MaRDI profile type: Publication
full work available at URL: 0022-4049(95)00059-3
OpenAlex ID: W2056723717
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description: scientific article; zbMATH DE number 908484