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Abelian Groups Which are Uniserial as Modules over Their Endomorphism Rings

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Abelian Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1006))

Abstract

In a recent paper [4] S. Feigelstock considers (not necessarily associative) rings the ideal lattices of which are totally ordered. He calls such rings TOLI rings. Clearly, if Ris a TOLI ring, the lattice of fully invariant subgroups of its additive group R+ must be totally ordered, too. In this note we consider abelian groups A which possess this latter property.

This research was supported in part by a University of Houston Research Enabling Grant

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References

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Authors
  1. Jutta Hausen
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Editors and Affiliations

  1. FB 6 — Mathematik, Universität Essen, Gesamthochschule, Universitätsstr. 3, 4300, Essen 1, Federal Republic of Germany

    Rüdiger Göbel

  2. Department of Mathematics, University of Hawaii, 2565 The Mall, 96822, Honolulu, Hawai, USA

    Lee Lady  & Adolf Mader  & 

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© 1983 Springer-Verlag Berlin Heidelberg

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Hausen, J. (1983). Abelian Groups Which are Uniserial as Modules over Their Endomorphism Rings. In: Göbel, R., Lady, L., Mader, A. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 1006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21560-9_8

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  • DOI: https://doi.org/10.1007/978-3-662-21560-9_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12335-4

  • Online ISBN: 978-3-662-21560-9

  • eBook Packages: Springer Book Archive

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