$\V\W$-Gorenstein categories

DOI10.3906/mat-1502-37zbMath1424.18022OpenAlexW2257591634MaRDI QIDQ4633112

Juxiang Sun, Guoqiang Zhao

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1502-37

zbMATH Keywords

Gorenstein injective modulesGorenstein projective modulessemidualizing modulesbass class(\(\mathcal{V}\)\(\mathcal{W}\)-)Gorenstein categories

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (3)

The role of w-tilting modules in relative Gorenstein (co)homology ⋮ A unified approach to various Gorenstein modules ⋮ $VW$-Gorenstein complexes

Cites Work

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• \(\mathcal W\)-Gorenstein modules
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• Relative homological algebra
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• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Beyond totally reflexive modules and back
• Ring Homomorphisms and Finite Gorenstein Dimension
• Gorenstein Projective Dimension Relative to a Semidualizing Bimodule
• Stability of Gorenstein categories
• Stable module theory
• Covers and Envelopes byV-Gorenstein Modules

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