k-torsionfree modules with respect to generalized tilting modules

DOI10.1142/S021949881550070XzbMath1323.16003MaRDI QIDQ4983064

Xianneng Du, Zhi-Bing Zhao

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

syzygiesgeneralized tilting modulesextension closed categories of modules\(\omega\)-\(k\)-torsionfree modulesstrong grades with respect to \(\omega\)

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Cites Work

• Extension closure of relative syzygy modules.
• Selforthogonal modules with finite injective dimension. III.
• On modules with trivial self-extensions
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Selforthogonal modules with finite injective dimension. II
• \(\omega\)-\(k\)-torsionfree modules and \(\omega\)-left approximation dimension.
• Applications of contravariantly finite subcategories
• Tilting modules and Auslander's Gorenstein property.
• Syzygy modules for Noetherian rings
• \(\mathbb{W}^t\)-approximation representations over quasi \(k\)-Gorenstein algebras
• Generalized tilting modules with finite injective dimension.
• Extension closure ofk-torsionfree modules
• Self-orthogonal modules over coherent rings

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