The Krull-Schmidt problem for modules over valuation domains

DOI10.1016/S0022-4049(98)00012-7zbMath0987.13012OpenAlexW2020404317MaRDI QIDQ1300652

Brendan Goldsmith, Warren May

Publication date: 26 June 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(98)00012-7

zbMATH Keywords

Krull-Schmidt theoremdirect decompositions of finite rank modulesfinite rank realization theoremnon-Henselian valuation domains

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30)

Related Items (8)

Unnamed Item ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ The Krull-Schmidt property for finitely generated modules over valuation domains ⋮ Modules over domains large in a complete discrete valuation ring ⋮ Minimal modules over valuation domains ⋮ Direct sums of local torsion-free abelian groups ⋮ Modules over discrete valuation domains. II

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