On the separability of a direct product of free modules over a valuation domain

DOI10.1007/BF01772931zbMath0522.13007MaRDI QIDQ1055828

Berthold Franzen

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

valuation domainKrull dimensionreflexive moduleslocally projectiveseparable R-modulestrongly coherent

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Integral domains (13G05) Arithmetic rings and other special commutative rings (13F99)

Related Items

Flat modules over valuation rings, Valuation Domains Whose Products of Free Modules Are Separable

Cites Work

• Unnamed Item
• Prebasic submodules over valuation rings
• Slender rings and modules
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Universally Torsionless and Trace Modules
• Uniserial modules over valuation rings