Triangulated Matlis equivalence

DOI10.1142/S0219498818500676zbMath1395.13015arXiv1605.08018MaRDI QIDQ4638602

L. E. Positsel'skiĭ

Publication date: 27 April 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08018

zbMATH Keywords

derived categoriesadditive categoriesexact categoriescommutative ringequivalence of categories\(S\)-topologytorsion modulescontramodulesbounded torsion\(h\)-divisible modulesMatlis domainsmultiplicative subsetreduced cotorsion modules

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Complete rings, completion (13J10) Torsion modules and ideals in commutative rings (13C12) Derived categories and commutative rings (13D09) Module categories and commutative rings (13C60)

Related Items (14)

Flat commutative ring epimorphisms of almost Krull dimension zero ⋮ Contramodules over pro-perfect topological rings ⋮ Covering classes and 1-tilting cotorsion pairs over commutative rings ⋮ On strongly flat and weakly cotorsion modules ⋮ Topologically semisimple and topologically perfect topological rings ⋮ Matlis category equivalences for a ring epimorphism ⋮ Remarks on derived complete modules and complexes ⋮ FLAT RING EPIMORPHISMS OF COUNTABLE TYPE ⋮ A characterisation of enveloping 1-tilting classes over commutative rings ⋮ \(S\)-almost perfect commutative rings ⋮ Derived decompositions of abelian categories. I ⋮ Contramodules and their applications to tilting theory ⋮ Pseudo-dualizing complexes and pseudo-derived categories ⋮ Ring Epimorphisms, Gabriel Topologies and Contramodules

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