Hereditary cotilting modules

DOI10.1006/JABR.2000.8621zbMath0994.16007OpenAlexW1970712608MaRDI QIDQ5936916

Francesca Mantese

Publication date: 17 September 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8621

zbMATH Keywords

torsion theoriescotilting bimodulescotilting modulesfaithfully balanced bimodulescontravariant functorscotilting dualitieshereditary cotilting modulesreflexive modulesright semi-Artinian rings

Mathematics Subject Classification ID

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

Related Items (5)

One-tilting classes and modules over commutative rings ⋮ On the heart of a faithful torsion theory ⋮ Quasi-cotilting modules and hereditary quasi-cotilting modules ⋮ Tilting theory: a gift of representation theory to mathematics ⋮ Derived dualities induced by a 1-cotilting bimodule

Cites Work

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• Quasi-tilting modules and counter equivalences
• Cotilting modules and bimodules
• Cotilting and a hierarchy of almost cotorsion groups
• Tilting, cotilting, and serially tilted rings
• Morita dualities induced by the M-dual functors
• Partial cotilting modules and the lattices induced by them
• Tilting and torsion theory counter equivalences
• Whitehead test modules
• Generalizing cotilting dualities

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