Group graded associated ideals with flat base change of rings and short exact sequences
type: Item
instance of: scholarly article
title: Group graded associated ideals with flat base change of rings and short exact sequences
zbMATH Open document ID: 1273.13033
author: Srinivas Behara
author: Shiv Datt Kumar
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2013-07-17T00:00:00Z
review text: The authors apply the theory of primary decomposition over rings graded by finitely generated abelian groups to the study of the behavior of \(G\)-associated ideals with short exact sequences. The notion of \(G\)-associated prime ideal is considered for rings which are not necessarily noetherian. The authors introduce strong Krull \(G\)-associated ideals with flat base change of rings.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 13E15
Mathematics Subject Classification ID: 13A02
Mathematics Subject Classification ID: 16W50
zbMATH DE Number: 6188684
zbMATH Keywords: graded ring
zbMATH Keywords: graded module
zbMATH Keywords: noetherian ring
zbMATH Keywords: \(G\)-associated ideals
MaRDI profile type: Publication
full work available at URL: s12044-011-0021-z
OpenAlex ID: W2108203337
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DOI: 10.1007/S12044-011-0021-Z
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description: scientific article; zbMATH DE number 6188684