(Weak) Gorenstein global dimension of semiartinian rings
type: Item
instance of: scholarly article
title: (Weak) Gorenstein global dimension of semiartinian rings
zbMATH Open document ID: 1218.13010
DOI: 10.5402/2011/497831
author: Mohammed Tamekkante
author: Mohamed Chhiti
published in: ISRN Algebra
publication date: 2011-07-22T00:00:00Z
review text: Summary: We prove that if \(R\) is a semiartinian commutative ring, the Gorenstein global dimension of \(R\) equals the supremum of the Gorenstein projective and injective dimensions of simple \(R\)-modules, and the weak Gorenstein global dimension of \(R\) equals the supremum of the Gorenstein flat dimensions of simple \(R\)-modules.
Mathematics Subject Classification ID: 13D05
Mathematics Subject Classification ID: 13D02
Mathematics Subject Classification ID: 13D07
zbMATH DE Number: 5931118
zbMATH Keywords: simple modules
zbMATH Keywords: projective modules
zbMATH Keywords: projective dimension
zbMATH Keywords: injective dimension
zbMATH Keywords: flat dimension
Wikidata QID: Q58689506
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/497831
OpenAlex ID: W2127334446
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description: scientific article; zbMATH DE number 5931118