Splitting fields for torsion-free modules over discrete valuation rings. I

DOI10.1016/0021-8693(77)90285-XzbMath0366.13002OpenAlexW2036301057MaRDI QIDQ1241781

E. L. Lady

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90285-x

Mathematics Subject Classification ID

General valuation theory for fields (12J20) Galois theory and commutative ring extensions (13B05) Commutative ring extensions and related topics (13B99) Arithmetic rings and other special commutative rings (13F99)

Related Items

On endomorphism rings of modules over henselian rings¹ ⋮ Unnamed Item ⋮ Torsion-free Abelian groups and completely decomposable p-adic modules ⋮ Splitting fields for torsion-free modules over discrete valuation rings. II ⋮ Definability of local abelian groups by their splitting rings ⋮ Torsion-free modules of finite rank over a discrete valuation ring. ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Indecomposable \(p\)-local torsion-free groups with quadratic and cubic splitting fields ⋮ On finite rank torsion-free modules over almost maximal valuation domains ⋮ Co-purely indecomposable modules over discrete valuation rings ⋮ Valuation domains with a maximal immediate extension of finite rank ⋮ Direct sums of local torsion-free abelian groups ⋮ Indecomposable Modules Over Nagata Valuation Domains ⋮ Modules over discrete valuation domains. II ⋮ The minimal splitting field for a finite rank torsion free module over an almost maximal valuation domain ⋮ Modules ⋮ Finite rank Butler groups and torsion-free modules over a discrete valuation ring

Cites Work

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• Completely Decomposable Flat Modules over Locally Factorial Domains
• Indecomposable representations of graphs and algebras
• Representation theory of artin algebras iii almost split sequences
• A Duality for Torsion-Free Modules of Finite Rank Over a Discrete Valuation Ring