Generalized tilting modules with finite injective dimension.

DOI10.1016/j.jalgebra.2006.11.025zbMath1130.16008arXivmath/0602572OpenAlexW2149175232WikidataQ122603099 ScholiaQ122603099MaRDI QIDQ2370141

Zhao Yong Huang

Publication date: 22 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0602572

zbMATH Keywords

injective dimensiongeneralized tilting modules

Mathematics Subject Classification ID

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

Related Items (11)

Selforthogonal modules with finite injective dimension. III. ⋮ A Generalized Version of the Tilting Theorem ⋮ Wakamatsu tilting modules with finite injective dimension ⋮ Semi-tilting modules and mutation. ⋮ Cohen-Macaulay Noetherian algebras ⋮ On Auslander-type conditions of modules ⋮ Generalized tilting modules and Frobenius extensions ⋮ Coreflexive modules and semidualizing modules with finite projective dimension ⋮ \(\omega\)-Gorenstein injective modules and dimensions. ⋮ Wakamatsu tilting modules with finite FP-injective dimension ⋮ k-torsionfree modules with respect to generalized tilting modules

Cites Work

• Selforthogonal modules with finite injective dimension. III.
• Tilting modules of finite projective dimension
• On modules with trivial self-extensions
• \(k\)-Gorenstein algebras and syzygy modules
• Selforthogonal modules with finite injective dimension. II
• Applications of contravariantly finite subcategories
• Tilting modules and Auslander's Gorenstein property.
• Comments on the functor Ext
• Injective dimension of semi-primary rings
• The homological theory of maximal Cohen-Macaulay approximations
• On a Generalized Version of the Nakayama Conjecture
• Coherent Rings and Fp -Injective Modules
• Homological and homotopical aspects of torsion theories
• Self-orthogonal modules over coherent rings
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