FLAT RING EPIMORPHISMS OF COUNTABLE TYPE

DOI10.1017/S001708951900017XzbMath1445.16002arXiv1808.00937OpenAlexW3106387586WikidataQ127925306 ScholiaQ127925306MaRDI QIDQ5107688

L. E. Positsel'skiĭ

Publication date: 28 April 2020

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00937

zbMATH Keywords

projective dimensionabelian categorylinear topologyGabriel topologycontramodule

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Abelian categories, Grothendieck categories (18E10) Homological dimension in associative algebras (16E10) Localization of categories, calculus of fractions (18E35)

Related Items (8)

Flat commutative ring epimorphisms of almost Krull dimension zero ⋮ Contramodules over pro-perfect topological rings ⋮ Closure properties of \(\varinjlim \mathcal{C}\) ⋮ Topologically semisimple and topologically perfect topological rings ⋮ Covering classes, strongly flat modules, and completions ⋮ Covers and direct limits: a contramodule-based approach ⋮ A characterisation of enveloping 1-tilting classes over commutative rings ⋮ Contramodules and their applications to tilting theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• Tilting modules arising from ring epimorphisms.
• Modules of extensions over Dedekind rings
• Perpendicular categories with applications to representations and sheaves
• Flat covers of modules
• On strongly flat modules over integral domains
• \(S\)-almost perfect commutative rings
• Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories
• One-tilting classes and modules over commutative rings
• On strongly flat and weakly cotorsion modules
• Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
• Strongly Flat Covers
• How To Make Ext Vanish
• Silting Modules over Commutative Rings
• Triangulated Matlis equivalence
• The Tilting–Cotilting Correspondence
• Flat ring epimorphisms and universal localizations of commutative rings
• Weakly curved A-infinity algebras over a topological local ring
• On isonoetherian and isoartinian modules
• Universal localizations via silting
• Cotorsion modules
• Des catégories abéliennes
• Homological Algebra of Semimodules and Semicontramodules

This page was built for publication: FLAT RING EPIMORPHISMS OF COUNTABLE TYPE