Ring Epimorphisms, Gabriel Topologies and Contramodules

DOI10.1007/978-3-030-84319-9_1zbMath1480.16023OpenAlexW3206900842MaRDI QIDQ5861647

Silvana Bazzoni

Publication date: 1 March 2022

Published in: New Perspectives in Algebra, Topology and Categories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-84319-9_1

zbMATH Keywords

derived categoriescommutative ringsring epimorphismstorsion modulesdivisible modulesassociative rings and modulesHarrison-Matlis category equivalencescomodules contramodules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological dimension and commutative rings (13D05) Abelian categories, Grothendieck categories (18E10) Torsion theory for commutative rings (13D30) Derived categories and associative algebras (16E35)

Cites Work

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• Infinite Abelian groups and homological methods
• An introduction to homological algebra
• Perpendicular categories with applications to representations and sheaves
• Equivalence of some homological conditions for ring epimorphisms
• Matlis category equivalences for a ring epimorphism
• 1-dimensional Cohen-Macaulay rings
• Triangulated Matlis equivalence
• Contraadjusted modules, contramodules, and reduced cotorsion modules
• Cotorsion modules

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