Generalizing cotilting dualities

DOI10.1006/JABR.2000.8522zbMath0976.16010OpenAlexW2040220929MaRDI QIDQ5929352

Francesca Mantese

Publication date: 19 September 2001

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

Full work available at URL: https://semanticscholar.org/paper/6903ef99df81935820f6191df1de16be66ad425c

zbMATH Keywords

Morita dualitiescotilting bimodulescotilting modulescotilting theoremfaithfully balanced bimodulesquasi-cotilting modulestorsion classesweakly cotilting bimodules

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Bimodules in associative algebras (16D20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (5)

Weak Morita Duality ⋮ Hereditary cotilting modules ⋮ Reflexivity in derived categories ⋮ Δ′-Reflexive Modules and Cogen(P)-Linear Compactness ⋮ Generalizing Morita duality: a homological approach

Cites Work

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• Quasi-tilting modules and counter equivalences
• Cotilting modules and bimodules
• Generalizing Morita duality: a homological approach
• Tilting, cotilting, and serially tilted rings
• A generalization of morita duality and the tilting theorem
• Partial cotilting modules and the lattices induced by them

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