Quasi-tilting modules and counter equivalences

DOI10.1006/jabr.1997.6873zbMath0876.16004OpenAlexW1994534104MaRDI QIDQ1357795

Riccardo Colpi, Gabriella D'Este, Alberto Tonolo

Publication date: 26 August 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.6873

zbMATH Keywords

bimodulestilting modulestorsion theoriesfinite-dimensional algebrascategory equivalencesquasi-tilting modulesquasi-tilting triplestorsion classes of modulestorsion theory counter equivalencestorsionfree classes of modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Bimodules in associative algebras (16D20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (37)

Equivalences induced by infinitely generated silting modules ⋮ The HRS tilting process and Grothendieck hearts of t-structures ⋮ ON A FINITISTIC COTILTING-TYPE DUALITY ⋮ On a Finitistic Cotilting-Type Duality ⋮ Weak Morita Duality ⋮ Dimension estimates for representable equivalences of module categories ⋮ Cosilting complexes and AIR-cotilting modules ⋮ co-\(*^s\)-modules. ⋮ On tilted Giraud subcategories ⋮ When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module ⋮ On support \(\tau\)-tilting graphs of gentle algebras ⋮ Injective cogenerators, cotilting modules and cosilting modules ⋮ Derived dualities induced by a 1-cotilting bimodule ⋮ \(FP\)-cosilting and \(FP\)-cotilting modules ⋮ Cotilting sheaves on Noetherian schemes ⋮ When the heart of a faithful torsion pair is a module category ⋮ A characterization of \(n\)-cotilting and \(n\)-tilting modules. ⋮ Cotilting and a hierarchy of almost cotorsion groups ⋮ *-MODULES, TILTING, AND ALMOST ABELIAN CATEGORIES ⋮ ON THE COMPLEMENTARITY OF TWO QUASI-TILTING TRIPLES ⋮ Generalizing cotilting dualities ⋮ Tilting modules over almost perfect domains ⋮ Triads. ⋮ Hereditary cotilting modules ⋮ Costar modules ⋮ Equivalences induced by infinitely generated tilting modules ⋮ Cotilting and tilting modules over Prüfer domains ⋮ Finitely cotilting modules ⋮ Representations of the generalized Kronecker quiver with countably many arrows ⋮ \(\tau\)-tilting theory and \(*\)-modules. ⋮ Natural and Doubly Natural Dualities ⋮ \( \infty \)-tilting theory ⋮ Quasi-cotilting modules and torsion-free classes ⋮ Generalizations of \(n\)-tilting and \(n\)-cotilting modules ⋮ Covers induced by Ext ⋮ REPETITIVE EQUIVALENCES AND TILTING THEORY ⋮ Generalizing Morita duality: a homological approach

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