Uniserial modules over valuation rings

DOI10.1016/0021-8693(83)90115-1zbMath0536.13004OpenAlexW1964722591MaRDI QIDQ5896288

László Fuchs, Luigi Salce

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90115-1

zbMATH Keywords

uniserial modulespure submodulesalmost maximal valuation domainHeights

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Chain conditions, finiteness conditions in commutative ring theory (13E99) Arithmetic rings and other special commutative rings (13F99)

Related Items (8)

Unnamed Item ⋮ Pure-direct-injective modules ⋮ Indecomposable finitely generated modules over valuation domains ⋮ Almost uniserial rings and modules. ⋮ A Result by Kulikov that Does Not Extend to Modules Over General Valuation Domains ⋮ Relations between endomorphism rings, injectivity, surjectivity and uniserial modules ⋮ Prebasic submodules over valuation rings ⋮ Torsion-free covers and pure-injective envelopes over valuation domains

Cites Work

• Unnamed Item
• Serial modules and endomorphism rings
• On the ring of endomorphisms of an indecomposable injective module over a Prüfer ring
• Purity and algebraic compactness for modules
• Decompositions of injective modules
• Modules of finite rank over Prüfer rings
• Injective Modules Over Prufer Rings
• Decomposability of Finitely Presented Modules
• Almost Maximal Valuation Rings
• Modules Over Dedekind Rings and Valuation Rings

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