Gauß' theorem for two submodules

DOI10.1007/PL00004630zbMath0919.13010OpenAlexW2082163744MaRDI QIDQ1266193

Rüdiger Göbel, Steve T. Files

Publication date: 8 November 1998

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004630

zbMATH Keywords

free moduleprincipal ideal domainButler groupspure submoduledirect sum of cyclic modulesstacked bases theorem

Mathematics Subject Classification ID

Principal ideal rings (13F10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Torsion-free groups, infinite rank (20K20)

Related Items (6)

Remarks about the history of Abelian groups in England and Germany. ⋮ Completely decomposable Abelian groups with a distinguished cd subgroup. ⋮ STACKED BASES FOR COUNTABLE HOMOGENEOUS COMPLETELY DECOMPOSABLE GROUPS ⋮ A category equivalence between homogeneous completely decomposable Abelian groups and modules over principal ideal domains ⋮ Representations over PID’s with three distinguished submodules ⋮ CLASSIFICATION AND DIRECT DECOMPOSITIONS OF SOME BUTLER GROUPS OF COUNTABLE RANK

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