Gorenstein homological dimensions.
type: Item
instance of: scholarly article
title: Gorenstein homological dimensions.
zbMATH Open document ID: 1050.16003
author: Henrik Holm
published in: Journal of Pure and Applied Algebra
publication date: 2004-07-12T00:00:00Z
full work available at URL: GorensteinHomologicalDimensions.pdf
review text: The paper under review deals with the notions of Gorenstein projective, Gorenstein injective, and Gorenstein flat dimensions, which are refinements of the corresponding classical dimensions. Using homological techniques, the author generalizes a multitude of results to the setting of arbitrary associative rings.
reviewed by: Alex Martsinkovsky
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16E30
zbMATH DE Number: 2078857
zbMATH Keywords: Gorenstein projective dimension
zbMATH Keywords: Gorenstein injective dimension
zbMATH Keywords: Gorenstein flat dimension
MaRDI profile type: Publication
OpenAlex ID: W2114145385
cites work: Stable module theory
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cites work: Gorenstein dimensions
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cites work: Q4271869
cites work: Foxby duality and Gorenstein injective and projective modules
cites work: On the vanishing of \(\lim_{(i)}\)
cites work: Critères de platitude et de projectivité. Techniques de ''platification'' d'un module. (Criterial of flatness and projectivity. Technics of ''flatification of a module.)
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DOI: 10.1016/J.JPAA.2003.11.007
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description: scientific article; zbMATH DE number 2078857