Mittag-Leffler modules and semi-hereditary rings

zbMath0865.16004MaRDI QIDQ2563973

Alberto Facchini, Ulrich F. Albrecht

Publication date: 7 July 1997

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1996__95__175_0

zbMATH Keywords

Mittag-Leffler modulesPrüfer domainsright Goldie dimensionfinitely generated non-singular right modulesfinitely generated submodules of free modulesMittag-Leffler Abelian groupspure-projective pure submodulesRD domainsright semi-hereditary ringsrsns semi-hereditary rings

Mathematics Subject Classification ID

Other classes of modules and ideals in associative algebras (16D80) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (3)

Finitely presented modules over right non-singular rings. ⋮ Right Utumi p.p.-rings. ⋮ Torsion-freeness and non-singularity over right p.p.-rings.

Cites Work

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• Rings of pure global dimension zero and Mittag-Leffler modules
• Locally \(A\)-projective Abelian groups and generalizations
• Mittag-Leffler modules, reduced products, and direct products
• Mittag-Leffler modules
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Exchange rings and decompositions of modules
• Every Cotorsion-Free Ring is an Endomorphism Ring
• On Projective Modules Over Semi-Hereditary Rings

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