Quasi-cotilting modules and torsion-free classes

DOI10.1142/S0219498819502141zbMath1422.16006arXiv1601.01387WikidataQ128854379 ScholiaQ128854379MaRDI QIDQ5235389

Jiaqun Wei, Peiyu Zhang

Publication date: 10 October 2019

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

Full work available at URL: https://arxiv.org/abs/1601.01387

zbMATH Keywords

pure-injective modulecovering classtorsion-free classcofinendo modulequasi-cotilting module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (2)

Cosilting complexes and AIR-cotilting modules ⋮ More on abundance of cosilting modules

Cites Work

• Unnamed Item
• Unnamed Item
• Covers, precovers, and purity.
• \(\tau\)-tilting theory and \(*\)-modules.
• Representable equivalences between categories of modules and applications
• Tilting modules of finite projective dimension
• Quasi-tilting modules and counter equivalences
• Tilting modules of finite projective dimension and a generalization of \(*\)-modules.
• \(n\)-star modules and \(n\)-tilting modules.
• Applications of contravariantly finite subcategories
• Tilting modules and tilting torsion theories
• Relative homological algebra
• Silting Modules
• Some remarks on equivalences between categories of modules
• co-∗ⁿ-modules
• Tilted Algebras
• Cotilting modules are pure-injective
• -tilting theory
• A Torsion Theory for Abelian Categories
• Tilting preenvelopes and cotilting precovers
• Costar modules

This page was built for publication: Quasi-cotilting modules and torsion-free classes