Prebasic submodules over valuation rings

DOI10.1007/BF01760984zbMath0515.13007OpenAlexW2095341505MaRDI QIDQ1051694

László Fuchs, Luigi Salce

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01760984

zbMATH Keywords

heightBaer invariantsindicators of elementsmodules over valuation ringsprebasic submodulesUlm- Kaplansky invariants

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Arithmetic rings and other special commutative rings (13F99)

Related Items

On \(\Sigma\)-pure-injective modules over valuation domains, Some properties of direct sums of uniserial modules over valuation domains, Relative injectivity and pure-injective modules over Prüfer rings, Indecomposable finitely generated modules over valuation domains, László Fuchs' 70th birthday, On finite rank torsion-free modules over almost maximal valuation domains, Rank-two torsion-free modules over valuation domains, Separable torsion modules over valuation domains, The minimal splitting field for a finite rank torsion free module over an almost maximal valuation domain, On the separability of a direct product of free modules over a valuation domain, Quasi-basic submodules over valuation domains, Torsion-free covers and pure-injective envelopes over valuation domains

Cites Work

• Unnamed Item
• Separable torsion modules over valuation domains
• Purity and algebraic compactness for modules
• Uniserial modules over valuation rings