ON MODULES OVER COMMUTATIVE RINGS

DOI10.1017/S1446788717000313zbMath1407.13007OpenAlexW2768556117MaRDI QIDQ4593268

Sang Bum Lee, László Fuchs

Publication date: 22 November 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788717000313

zbMATH Keywords

torsioncotorsion modulescommutative ringstorsion-freedivisible and \(h\)-divisible modulesgeneralized Matlis category equivalenceMatlis ringstight system

Mathematics Subject Classification ID

Other special types of modules and ideals in commutative rings (13C13) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (11)

On divisible modules over valuation domains ⋮ Almost perfect commutative rings ⋮ Unnamed Item ⋮ Weak-injective modules over commutative rings ⋮ A note on Matlis localizations ⋮ Cotorsion and Tor Pairs and Finitistic Dimensions over Commutative Rings ⋮ Tilting modules over almost perfect domains ⋮ On a new cotorsion pair ⋮ When weak-injective modules decompose like injectives ⋮ Divisibility and duo-rings ⋮ CHARACTERIZING ALMOST PERFECT RINGS BY COVERS AND ENVELOPES

Cites Work

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• Cotorsion pairs generated by modules of bounded projective dimension.
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• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Divisible Modules
• Cotorsion and Tor Pairs and Finitistic Dimensions over Commutative Rings
• The Functor Hom and Cotorsion Theories
• TORSION-FREENESS FOR RINGS WITH ZERO-DIVISORS
• Weak-Injective Modules
• Cotorsion modules
• Tilting Cotorsion Pairs

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