\(\omega\)-\(k\)-torsionfree modules and \(\omega\)-left approximation dimension.

DOI10.1007/BF02874420zbMath1054.16002OpenAlexW1670565399MaRDI QIDQ1609627

Zhao Yong Huang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02874420

zbMATH Keywords

bimodulessyzygy modulestorsionfree modulesleft approximation dimensionleft approximations

Mathematics Subject Classification ID

Syzygies, resolutions, complexes in associative algebras (16E05) Bimodules in associative algebras (16D20) Other classes of modules and ideals in associative algebras (16D80) Homological dimension in associative algebras (16E10)

Related Items (10)

\(k\)-Gorenstein modules. ⋮ Wakamatsu tilting modules with finite injective dimension ⋮ Relative syzygies and grade of modules. ⋮ On reduced G-perfection and horizontal linkage ⋮ \(\mathcal W\)-Gorenstein modules ⋮ On generalized \(k\)-syzygy modules. ⋮ 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 ⋮ Extension Closure of Relativek-Torsionfree Modules

Cites Work

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• On modules with trivial self-extensions
• Applications of contravariantly finite subcategories
• \(\mathbb{W}^t\)-approximation representations over quasi \(k\)-Gorenstein algebras
• Extension closure ofk-torsionfree modules
• On homological dimensions of simple modules over non-commutative rings
• Stable module theory

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