Polyserial modules over valuation domains

zbMath0668.13016MaRDI QIDQ1117982

Luigi Salce, László Fuchs

Publication date: 1988

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1988__80__243_0

zbMATH Keywords

valuation domainlengthGoldie dimensionfiniteness conditionsMalcev rankchain of submodulespolyserial modulesFleischer rank

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (22)

On divisible modules over valuation domains ⋮ Loewy length of modules over almost perfect domains ⋮ Quasi-isomorphisms of finitely generated modules over valuation domains ⋮ Serial rings with right Krull dimension one. II ⋮ On a category of chains of modules whose endomorphism rings have at most 2nmaximal ideals ⋮ Recollements and tilting objects ⋮ A Result by Kulikov that Does Not Extend to Modules Over General Valuation Domains ⋮ A decomposition theorem for neutrices ⋮ R-completions over domains with one-dimensional quotient field ⋮ On the pure global dimension of valuation domains ⋮ Torsion-free modules of finite rank over a discrete valuation ring. ⋮ Uniform modules over serial rings ⋮ On Whitehead modules ⋮ When every projective module is a direct sum of finitely generated modules ⋮ Elongations of uniserial modules over valuation domains ⋮ On the uniqueness of stratifications of derived module categories. ⋮ Kurosch invariants for torsion-free modules over Nagata valuation domains ⋮ Integrally closed rings which are Prüfer ⋮ On a class of nontriangular representation-finite algebras forming an open \(\mathbb Z\)-scheme. ⋮ On a generalization of the Youla--Kučera parametrization. I: the fractional ideal approach to siso systems ⋮ Scalar-reflexive rings. II ⋮ On non-standard uniserial modules over valuation domains and their quotients

Cites Work

• On Goldie and dual Goldie dimensions
• On two-generated modules over valuation domains
• Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
• On polyserial modules over valuation domains
• On modules over valuation domains whose finitely generated submodules are direct sums of cyclics
• Rank-two torsion-free modules over valuation domains
• Finitely generated modules over valuation rings
• A Note on Dualizing Goldie Dimension
• Modules with Finite Spanning Dimension
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