A Duality for Torsion-Free Modules of Finite Rank Over a Discrete Valuation Ring

DOI10.1112/plms/s3-24.2.204zbMath0237.13016OpenAlexW2087111054MaRDI QIDQ5647015

David M. Arnold

Publication date: 1972

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-24.2.204

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Related Items (23)

Duality in some classes of torsion-free Abelian groups of finite rank ⋮ Quasi-isomorphisms of finitely generated modules over valuation domains ⋮ Invariants and duality in some classes of torsion-free Abelian groups of finite rank ⋮ Torsion-free modules of finite rank over a discrete valuation ring. ⋮ Dualities for self–small groups ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ On finite rank torsion-free modules over almost maximal valuation domains ⋮ Kurosch invariants for torsion-free modules over Nagata valuation domains ⋮ Co-purely indecomposable modules over discrete valuation rings ⋮ Direct sums of local torsion-free abelian groups ⋮ Indecomposable Modules Over Nagata Valuation Domains ⋮ Klassifizierung torsionsfreier Abelscher Gruppen des Ranges 2 ⋮ Splitting fields for torsion-free modules over discrete valuation rings. I ⋮ Modules over discrete valuation domains. II ⋮ Mixed modules of finite torsion-free rank over a discrete valuation domain ⋮ Exterior Powers and Torsion Free Modules Over Discrete Valuation Rings ⋮ Exterior powers of torsion-free Abelian groups. ⋮ Rank-two torsion-free modules over valuation domains ⋮ Pi-balanced torsion-free modules over a discrete valuation domain ⋮ Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain ⋮ Fundamental theorem of projective geometry in Lie modules and algebras ⋮ Finite rank Butler groups and torsion-free modules over a discrete valuation ring

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