Cotorsion Theories Involving Auslander and Bass Classes

DOI10.1080/00927872.2011.594971zbMath1262.13021OpenAlexW2006961199MaRDI QIDQ4902949

Xiaoguang Yan, Zhen Zhang, Xiaosheng Zhu

Publication date: 18 January 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.594971

zbMATH Keywords

Bass classSemidualizing moduleAuslander class(Pre)covering(Pre)envelopingCotorsion theoryPure submodule

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Relative cohomology and generalized Tate cohomology

Cites Work

• AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
• Gorenstein projective dimension with respect to a semidualizing module
• Tate cohomology with respect to semidualizing modules
• Semi-dualizing modules and related Gorenstein homological dimensions
• Cotorsion pairs induced by duality pairs
• Comparison of relative cohomology theories with respect to semidualizing modules
• On modules with trivial self-extensions
• Gorenstein homological dimensions.
• Tilting modules and Auslander's Gorenstein property.
• Wakamatsu tilting modules.
• Cotorsion pairs associated with Auslander categories
• Semi-dualizing complexes and their Auslander categories
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• Foxby duality and Gorenstein injective and projective modules
• Homological aspects of semidualizing modules
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