n-Strongly Gorenstein Projective, Injective and Flat Modules

DOI10.1080/00927872.2010.496749zbMath1247.16007arXiv0904.3045OpenAlexW2046594790MaRDI QIDQ3098184

Guoqiang Zhao, Zhao Yong Huang

Publication date: 17 November 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.3045

zbMATH Keywords

strongly Gorenstein flat modulesstrongly Gorenstein projective modulesstrongly Gorenstein injective modules

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (9)

\textit{SG}-flat complexes and their generalizations ⋮ On 2-SG-semisimple rings ⋮ On strongly Gorenstein hereditary rings ⋮ \(m\)-periodic Gorenstein objects ⋮ n-Strongly Gorenstein Projective and Injective Complexes ⋮ Some change of rings results on (n, m)-SG modules and (n, m)-SG rings ⋮ Unnamed Item ⋮ $n$-strongly Gorenstein graded modules ⋮ On Stability of Gorenstein Categories

Cites Work

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• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Maximal 𝑛-orthogonal modules for selfinjective algebras
• A GENERALIZATION OF STRONGLY GORENSTEIN PROJECTIVE MODULES
• Strongly Gorenstein Projective Modules Over Upper Triangular Matrix Artin Algebras
• Stable module theory

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