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Groups, Modules, and Model Theory - Surveys and Recent Developments pp 41–68Cite as

A Remak-Krull-Schmidt Class of Torsion-Free Abelian Groups

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Abstract

The class of almost completely decomposable groups with a critical typeset of type (1, 5) and a homocyclic regulator quotient of exponent p 3 is shown to be of bounded representation type, i.e., in particular, a Remak-Krull-Schmidt class of torsion-free abelian groups. There are precisely 20 near-isomorphism classes of indecomposables all of rank 7, 8, 9.

in memorial Ruediger Goebel

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Author information

Authors and Affiliations

  1. Department of Mathematics, Baylor University, Waco, TX, 76798-7328, USA

    David M. Arnold

  2. Department of Mathematics, University of Hawaii, 2565 McCarthy Mall, Honolulu, HI, 96822, USA

    Adolf Mader

  3. Universität Würzburg, Math. Inst., Emil-Fischer-Str. 30, Würzburg, 97074, Germany

    Otto Mutzbauer

  4. Department of Mathematics, Middle East Technical University, Üniversiteler Mahallesi, Dumlupýnar Bulvarı No:1, 06800, Ankara, Turkey

    Ebru Solak

Authors
  1. David M. Arnold
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  2. Adolf Mader
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  3. Otto Mutzbauer
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  4. Ebru Solak
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Corresponding author

Correspondence to Otto Mutzbauer .

Editor information

Editors and Affiliations

  1. Institut für Informatik, Universität Leipzig, Leipzig, Germany

    Manfred Droste

  2. Department of Mathematics, Tulane University, New Orleans, Louisiana, USA

    László Fuchs

  3. Dublin Institute of Technology, Dublin, Ireland

    Brendan Goldsmith

  4. Faculty for Computer Sciences, Mannheim University of Applied Sciences, Mannheim, Germany

    Lutz Strüngmann

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Arnold, D.M., Mader, A., Mutzbauer, O., Solak, E. (2017). A Remak-Krull-Schmidt Class of Torsion-Free Abelian Groups. In: Droste, M., Fuchs, L., Goldsmith, B., Strüngmann, L. (eds) Groups, Modules, and Model Theory - Surveys and Recent Developments . Springer, Cham. https://doi.org/10.1007/978-3-319-51718-6_3

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