All 𝑛-cotilting modules are pure-injective

DOI10.1090/S0002-9939-06-08256-6zbMath1095.16002OpenAlexW2150586748WikidataQ114094092 ScholiaQ114094092MaRDI QIDQ3376949

Jan Šťovíček

Publication date: 27 March 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08256-6

zbMATH Keywords

cotilting modulespure-injective modulespure epimorphic images

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Applications of set theory (03E75)

Related Items (20)

When are definable classes tilting and cotilting classes? ⋮ Cotorsion pairs, torsion pairs, and \(\varSigma \)-pure-injective cotilting modules ⋮ Cosilting complexes and AIR-cotilting modules ⋮ An explicit self-dual construction of complete cotorsion pairs in the relative context ⋮ Pure projective tilting modules ⋮ Colocalization and cotilting for commutative noetherian rings ⋮ Almost free modules and Mittag-Leffler conditions. ⋮ Cotilting sheaves on Noetherian schemes ⋮ Silting and cosilting classes in derived categories ⋮ Cotilting modules over commutative Noetherian rings ⋮ On the telescope conjecture for module categories. ⋮ Cotilting modules and homological ring epimorphisms ⋮ Generalized tilting theory ⋮ Large tilting modules and representation type. ⋮ t-structures and cotilting modules over commutative Noetherian rings ⋮ Derived equivalences induced by big cotilting modules ⋮ A note on direct products and \(\mathrm{Ext}^1\) contravariant functors. ⋮ Abstract elementary classes induced by tilting and cotilting modules have finite character ⋮ Hearts for commutative Noetherian rings: torsion pairs and derived equivalences ⋮ \( \infty \)-tilting theory

This page was built for publication: All 𝑛-cotilting modules are pure-injective