On strongly flat modules over integral domains

DOI10.1216/rmjm/1181069861zbMath1062.13002OpenAlexW2031969772WikidataQ105711001 ScholiaQ105711001MaRDI QIDQ1880813

Silvana Bazzoni, Luigi Salce

Publication date: 1 October 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069861

zbMATH Keywords

valuation domainflat modulespure submodulestrongly flat modulesdense basic submoduleweakly cotorsion module

Mathematics Subject Classification ID

Integral domains (13G05) Valuation rings (13F30) Injective and flat modules and ideals in commutative rings (13C11) Complete rings, completion (13J10)

Related Items (15)

On strongly flat and weakly cotorsion modules ⋮ Almost perfect commutative rings ⋮ Flat morphisms of finite presentation are very flat ⋮ FLAT RING EPIMORPHISMS OF COUNTABLE TYPE ⋮ w-MATLIS COTORSION MODULES AND w-MATLIS DOMAINS ⋮ The class semigroup of local one-dimensional domains ⋮ On the existence of a single test module ⋮ Testing for cotorsionness over domains ⋮ \(S\)-almost perfect commutative rings ⋮ Valuation domains with a maximal immediate extension of finite rank ⋮ HW-DIVISIBLE MODULES ⋮ On a new cotorsion pair ⋮ Generalized Hill lemma, Kaplansky theorem for cotorsion pairs and some applications. ⋮ Strongly Flat Modules over Matlis Domains ⋮ ALGEBRAIC ENTROPY OF ENDOMORPHISMS OVER LOCAL ONE-DIMENSIONAL DOMAINS

Cites Work

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• Infinite Abelian groups and homological methods
• Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain
• Flat covers of modules
• ALL MODULES HAVE FLAT COVERS
• Cotorsion modules
• Decomposable Modules
• An independence result on cotorsion theories over valuation domains

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