Classification of modules with two distinguished pure submodules and bounded quotients

DOI10.1007/BF03322195zbMath0863.20025OpenAlexW2002666536MaRDI QIDQ2563743

Manfred Dugas, Rüdiger Göbel

Publication date: 15 April 1997

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322195

zbMATH Keywords

free modulespure submodulesprincipal ideal domainsdirect sum of \(cR_ 2\)-modulesindecomposable \(cR_ 2\)-modules

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Structure, classification theorems for modules and ideals in commutative rings (13C05) Torsion-free groups, infinite rank (20K20) Torsion-free groups, finite rank (20K15)

Related Items (5)

Remarks about the history of Abelian groups in England and Germany. ⋮ A category equivalence between homogeneous completely decomposable Abelian groups and modules over principal ideal domains ⋮ Representations over PID’s with three distinguished submodules ⋮ Every endomorphism of a local Warfield module of finite torsion-free rank is the sum of two automorphisms. ⋮ CLASSIFICATION AND DIRECT DECOMPOSITIONS OF SOME BUTLER GROUPS OF COUNTABLE RANK

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