Self-orthogonal modules over coherent rings

DOI10.1016/S0022-4049(00)00109-2zbMath0989.16005OpenAlexW1980764965MaRDI QIDQ5939613

Zhao Yong Huang, Gaohua Tang

Publication date: 5 August 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(00)00109-2

zbMATH Keywords

cotilting bimodulesArtin algebrasfaithfully balanced self-orthogonal bimodulesgeneralized Gorenstein dimensionleft coherent ringsleft FP-injective dimension

Mathematics Subject Classification ID

Cohen-Macaulay modules in associative algebras (16G50) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items

Generalized tilting modules with finite injective dimension., Selforthogonal modules with finite injective dimension. III., \(k\)-Gorenstein modules., Wakamatsu tilting modules with finite injective dimension, Homological behavior of Auslander's \(k\)-Gorenstein rings., Selforthogonal modules with finite injective dimension. II, Torsionfree dimension of modules and self-injective dimension of rings., The socle of the last term in a minimal injective resolution., Absolutely Pure Covers, ON A DUALITY THEOREM OF WAKAMATSU, \(\omega\)-Gorenstein injective modules and dimensions., On \(U\)-dominant dimension., On Duality Relative to Self-orthogonal Bimodules, Wakamatsu tilting modules with finite FP-injective dimension, On generalized \(k\)-syzygy modules., Homological Characterizations of Rings with Property (P), Approximation Presentations of Modules and Homological Conjectures, k-torsionfree modules with respect to generalized tilting modules, A generalization of the Auslander transpose and the generalized Gorenstein dimension, Left orthogonal classes of semidualizing bimodules, On relative counterpart of Auslander’s conditions

Cites Work

• Tilting modules of finite projective dimension
• Duality for derived categories and cotilting bimodules
• A note on the Nakayama conjectures
• On rings with finite self-injective dimension
• On a generalization of the auslander-bridger transpose
• Coherent Rings and Fp -Injective Modules
• Stable module theory
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