On Noetherian modules graded by \(G\)-sets
type: Item
instance of: scholarly article
title: On Noetherian modules graded by \(G\)-sets
zbMATH Open document ID: 0849.16038
DOI: 10.1007/BF01876226
author: Yanyan Li
published in: Acta Mathematica Hungarica
publication date: 1996-11-04T00:00:00Z
review text: Let \(G\) be a group, \(R\) a \(G\)-graded ring, \(A\) a left \(G\)-set, and \(M\) an \(R\)-module graded by \(A\). The paper deals with the following problem: if \(M\) is noetherian as a graded module, does it follow that \(M\) is noetherian? The following cases are discussed: 1. \(G\) is finite, \(A\) is arbitrary. 2. \(G\) is abelian, \(A\) is finite. 3. \(G=\mathbb{Z}\times F\), \(F\) is finite abelian, \(A\) is countable.
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16P40
zbMATH DE Number: 878100
zbMATH Keywords: Noetherian graded modules
zbMATH Keywords: graded rings
reviewed by: Serban Raianu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 878100