Graded equivalence theory with applications
type: Item
instance of: scholarly article
title: Graded equivalence theory with applications
zbMATH Open document ID: 0828.16049
DOI: 10.1016/S0021-8693(05)80009-2
author: Jeremy Haefner
published in: Journal of Algebra
publication date: 1995-12-18T00:00:00Z
review text: The first goal of this paper is to show that if two \(G\)-graded rings \(R\) and \(S\) have the property that their categories of graded modules are equivalent via a functor commuting with suspensions, then for any subgroup \(H\) of \(G\) there exist equivalences between the categories of modules graded by the \(G\)-set of right \(H\)-cosets over \(R\) and \(S\), respectively. This result is then used to pass results holding for rings graded by subgroups \(H\) to rings graded by the group \(G\).
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 763200
zbMATH Keywords: equivalences between categories of modules
zbMATH Keywords: \(G\)-graded rings
zbMATH Keywords: categories of graded modules
reviewed by: Serban Raianu
MaRDI profile type: Publication
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full work available at URL: s0021-8693(05)80009-2
OpenAlex ID: W2008099282
description: scientific article; zbMATH DE number 763200