Cotilting modules and homological ring epimorphisms

DOI10.1016/j.jalgebra.2015.07.008zbMath1356.13015OpenAlexW1061437873MaRDI QIDQ493774

Silvana Bazzoni

Publication date: 4 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.07.008

zbMATH Keywords

cotilting modulesvaluation domainshomological ring epimorphism

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Localization of categories, calculus of fractions (18E35)

Related Items (2)

Definable coaisles over rings of weak global dimension at most one ⋮ Parametrizing torsion pairs in derived categories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smashing localizations of rings of weak global dimension at most one
• On the derived category of a finite-dimensional algebra
• Recollements and tilting objects
• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• Tilting modules arising from ring epimorphisms.
• Perpendicular categories with applications to representations and sheaves
• Perpendicular categories of infinite dimensional partial tilting modules and transfers of tilting torsion classes.
• Recollements from partial tilting complexes.
• One dimensional tilting modules are of finite type.
• Approximations and endomorphism algebras of modules.
• Derived equivalences induced by big cotilting modules
• Noncommutative localizations and applications
• Infinitely generated tilting modules of finite projective dimension
• Good tilting modules and recollements of derived module categories
• Derived equivalence induced by infinitely generated 𝑛-tilting modules
• All 𝑛-cotilting modules are pure-injective
• Mittat-Leffler conditions on modules
• Quotients of representation-finite algebras
• Infinite-Dimensional Modules Over Wild Hereditary Algebras
• Locally finitely presented additive categories
• Cotilting modules are pure-injective
• Whitehead test modules
• Equivalences induced by infinitely generated tilting modules
• Tilting, cotilting, and spectra of commutative noetherian rings
• All tilting modules are of finite type
• Cotilting and tilting modules over Prüfer domains
• Tilting modules and Gorenstein rings
• Autour de la platitude

This page was built for publication: Cotilting modules and homological ring epimorphisms