Tilting preenvelopes and cotilting precovers

DOI10.1023/A:1011485800557zbMath0999.16007OpenAlexW1575268414WikidataQ57571316 ScholiaQ57571316MaRDI QIDQ5944689

Alberto Tonolo, Lidia Angeleri Hügel, Jan Trlifaj

Publication date: 22 September 2002

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011485800557

zbMATH Keywords

endomorphism ringscoversenvelopescotilting torsionfree classesfinendo tilting modulesmaximal tilting modulespre-envelope classespretorsion classespretorsionfree classesspecial precoverstilting torsion classes

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items

Perpendicular categories of infinite dimensional partial tilting modules and transfers of tilting torsion classes. ⋮ Tilting modules under special base changes ⋮ Cotorsion pairs, torsion pairs, and \(\varSigma \)-pure-injective cotilting modules ⋮ Silting modules and ring epimorphisms ⋮ Tilting classes over wild hereditary algebras. ⋮ A key module over pure-semisimple hereditary rings. ⋮ Tilting torsion-free classes in the category of comodules ⋮ Cosilting complexes and AIR-cotilting modules ⋮ Cosilting modules ⋮ Gorenstein derived equivalences and their invariants ⋮ When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module ⋮ Derived dualities induced by a 1-cotilting bimodule ⋮ Tilting preenvelopes and cotilting precovers in general abelian categories ⋮ Infinitely generated Gorenstein tilting modules ⋮ A characterization of \(n\)-cotilting and \(n\)-tilting modules. ⋮ Tilting modules arising from ring epimorphisms. ⋮ Tilting and cotilting modules over concealed canonical algebras ⋮ One dimensional tilting modules are of finite type. ⋮ All tilting modules are of finite type ⋮ Equivalences induced by infinitely generated tilting modules ⋮ Constructing tilting modules ⋮ Pure Projective Approximations ⋮ Cotilting and tilting modules over Prüfer domains ⋮ Cotilting modules are pure-injective ⋮ Covers, precovers, and purity. ⋮ Relatively divisible and relatively flat objects in exact categories: applications ⋮ Tilting modules and Gorenstein rings ⋮ On the abundance of silting modules ⋮ Quasi-cotilting modules and torsion-free classes ⋮ $\Sigma $-pure injectivity and Brown representability ⋮ COTILTING CLASSES OF TORSION-FREE MODULES ⋮ Covers induced by Ext ⋮ On the vanishing of Ext over formal triangular matrix rings ⋮ Divisible modules and localization ⋮ A characterization of \(n\)-Gorenstein tilting comodules ⋮ Tilting theory and the finitistic dimension conjectures ⋮ Tilting modules over small Dedekind domains

This page was built for publication: Tilting preenvelopes and cotilting precovers