Equivalences and the tilting theory.

DOI10.1016/j.jalgebra.2004.08.032zbMath1112.16010OpenAlexW1996723254MaRDI QIDQ1763740

Jiaqun Wei

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.032

zbMATH Keywords

tilting modulesfinitely generated modulesprojective dimensionprojective resolutionsequivalences\(*^\infty\)-modulesselfsmall modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological dimension in associative algebras (16E10)

Related Items (4)

A Generalized Version of the Tilting Theorem ⋮ A characterization of the tilting pair. ⋮ \(n\)-star modules and \(n\)-tilting modules. ⋮ ∞-costar modules

Cites Work

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• Stable equivalence for self-injective algebras and a generalization of tilting modules
• Representable equivalences between categories of modules and applications
• Tilting modules of finite projective dimension
• On modules with trivial self-extensions
• Density and equivalence
• On the structure of *-modules
• Every *-module is finitely generated
• Tilting modules of finite projective dimension and a generalization of \(*\)-modules.
• Tilting modules and tilting torsion theories
• Some remarks on equivalences between categories of modules
• Tilted Algebras
• Tilting modules and ∗-modules
• (n,t)-Quasi-Projective and Equivalences

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