Gradings of finite support. Application to injective objects
type: Item
instance of: scholarly article
title: Gradings of finite support. Application to injective objects
zbMATH Open document ID: 0859.16036
DOI: 10.1016/0022-4049(95)00063-1
author: Constantin Năstăsescu
author: Sorin Dascalescu
author: Ángel del Río
author: Fred Van Oystaeyen
published in: Journal of Pure and Applied Algebra
publication date: 1996-10-13T00:00:00Z
full work available at URL: https://hdl.handle.net/10067/165130151162165141
review text: The relationship between injectivity in \(R\)-gr and \(R\)-mod is studied, where \(R\) is a group-graded ring. The second author proved that if \(R\) has finite support, then gr-injective modules with finite support are injective in \(R\)-mod. This result is generalized by showing that the condition that \(R\) have finite support is not necessary. It is also shown that the theory of graded rings and modules with finite support does not coincide with the theory of finite group gradings.
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16D50
zbMATH DE Number: 908488
zbMATH Keywords: injectivity
zbMATH Keywords: group-graded rings
zbMATH Keywords: gr-injective modules
zbMATH Keywords: graded rings and modules with finite support
zbMATH Keywords: finite group gradings
reviewed by: Serban Raianu
MaRDI profile type: Publication
OpenAlex ID: W1999954928
Wikidata QID: Q114215359
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description: scientific article; zbMATH DE number 908488