Characterizing when the category of Gorenstein projective modules is an abelian category.

DOI10.1007/S10468-013-9448-5zbMath1335.16009OpenAlexW2050574068MaRDI QIDQ458413

Fan Kong

Publication date: 7 October 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-013-9448-5

zbMATH Keywords

categories of modulesAbelian categoriesselfinjective algebrasGorenstein projective modulesAuslander-Solberg correspondence

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10)

Related Items (2)

Gorenstein homological properties for Hopf--Galois extensions ⋮ Going relative with Maurice—A survey

Cites Work

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• Relative homology and representation theory 1
• Relative homology and representation theory II
• Gorenstein algebras and algebras with dominant dimension at least 2
• Homological and homotopical aspects of torsion theories

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