Divisible modules and localization

DOI10.1016/j.jalgebra.2005.03.019zbMath1117.13014OpenAlexW1982758535WikidataQ57571241 ScholiaQ57571241MaRDI QIDQ2583032

Jan Trlifaj, Lidia Angeleri Hügel, Herbera, Dolors

Publication date: 13 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.03.019

zbMATH Keywords

projective dimensiontilting moduledivisibleMatlis domain

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological dimension in associative algebras (16E10)

Related Items (23)

Flat commutative ring epimorphisms of almost Krull dimension zero ⋮ Divisibility classes are seldom closed under flat covers ⋮ One-dimensional stable rings ⋮ One-tilting classes and modules over commutative rings ⋮ Tilting modules and universal localization ⋮ On strongly flat and weakly cotorsion modules ⋮ Cotorsion pairs generated by modules of bounded projective dimension. ⋮ ON MODULES OVER COMMUTATIVE RINGS ⋮ The completion of \(d\)-abelian categories ⋮ A note on Matlis localizations ⋮ Criteria for flatness and injectivity ⋮ Tilting modules arising from ring epimorphisms. ⋮ A characterisation of enveloping 1-tilting classes over commutative rings ⋮ Triangulated Matlis equivalence ⋮ On the Cotorsion Pair (𝒫₁, 𝒟) ⋮ \(S\)-almost perfect commutative rings ⋮ Tilting modules over almost perfect domains ⋮ Generalized Hill lemma, Kaplansky theorem for cotorsion pairs and some applications. ⋮ Divisibility and duo-rings ⋮ CHARACTERIZING ALMOST PERFECT RINGS BY COVERS AND ENVELOPES ⋮ COTILTING CLASSES OF TORSION-FREE MODULES ⋮ Parametrizing torsion pairs in derived categories ⋮ All tilting modules are of countable type

Cites Work

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• \(\mathcal F\)-divisible modules and tilting modules over Prüfer domains
• On divisible modules over domains
• Divisible modules over integral domains
• Injective and flat covers, envelopes and resolvents
• Tilting modules and tilting torsion theories
• On the structure of a one-dimensional quotient field
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Modules with decompositions that complement direct summands
• 1-dimensional Cohen-Macaulay rings
• How To Make Ext Vanish
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• A tilting module over commutative integral domains
• S-divisible modules over domains
• Tilting modules over valuation domains
• Modules with Semi-Local Endomorphism Ring
• Tilting modules and Gorenstein rings
• The Homological Dimension of a Quotient Field
• Autour de la platitude
• Tilting Cotorsion Pairs
• Tilting preenvelopes and cotilting precovers

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