Modules over discrete valuation domains. I

DOI10.1007/s10958-007-0335-7zbMath1178.13012OpenAlexW4211005293MaRDI QIDQ941936

Piotr A. Krylov, Askar A. Tuganbaev

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0335-7

zbMATH Keywords

torsion-free moduleendomorphism ringtorsion modulediscrete valuation domain

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Valuation rings (13F30) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15) Theory of modules and ideals in commutative rings (13C99)

Related Items (5)

Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ WARFIELD INVARIANTS IN COMMUTATIVE GROUP ALGEBRAS ⋮ Modules over discrete valuation domains. III ⋮ Commutative algebraic groups up to isogeny. II ⋮ Hopfian algebraically compact Abelian groups.

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