Representable equivalences between categories of modules and applications

zbMath0701.16007MaRDI QIDQ913914

Adalberto Orsatti, Menini, Claudia

Publication date: 1989

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1989__82__203_0

zbMATH Keywords

tiltingdualityfunctorequivalencesbimodule

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Bimodules in associative algebras (16D20)

Related Items

On *-modules generating the injectives, Representable equivalences for closed categories of modules, Equivalenze rappresentabili tra categorie di moduli, Quasi-tilting modules and counter equivalences, Dimension estimates for representable equivalences of module categories, Algebras with few ∗-modules, \(n\)-star modules over ring extensions., Steady ideals and rings, co-\(*^s\)-modules., Tilting theory: a gift of representation theory to mathematics, Topological Morita contexts, Commutative rings in which every finitely generated ideal is quasi-projective, Tilting modules of finite projective dimension and a generalization of \(*\)-modules., Representable equivalences are represented by tilting modules, Tilting equivalences for Grothendieck categories, Equivalences and the tilting theory., \(n\)-star modules and \(n\)-tilting modules., Costar modules, Idempotent monads and \(\star \)-functors, Estimates of global dimension, Modules Commuting (Via Hom) with Some Colimits, \(\tau\)-tilting theory and \(*\)-modules., On *-modules over valuation rings, ∞-costar modules, Quasi-cotilting modules and torsion-free classes, Tilting objects in abelian categories and quasitilted rings, Tilting and trivial extensions, Global dimension of the endomorphism ring and \(*^n\)-modules., \(*^s\)-modules.

Cites Work

• Infinite Abelian groups and homological methods
• A theorem on equivalences between categories of modules with some applications
• Good dualities and strongly quasi-injective modules
• Density and equivalence
• Endomorphism rings of self-generators
• On equivalences between module subcategories
• Localizations in categories of modules. I
• Tilted Algebras
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