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Kasch Modules

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Advances in Ring Theory

Part of the book series: Trends in Mathematics ((TM))

Abstract

An associative ring R is a left Kasch ring if it contains a copy of every simple left R-module. Transferring this notion to modules we call a left R-module М a Kasch module if it contains a copy of every simple module in σ [M]. The aim of this paper is to characterize and investigate this class of modules.

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References

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Author information

Authors and Affiliations

  1. Facultatea De Matematică, Universitatea Вucureşti, 70109, Bucureşti 1, Romania

    Toma Albu

  2. Mathematisches Institut Der Heinrich-Heine-Universität, 40225, Düsseldorf, Germany

    Robert Wisbauer

Authors
  1. Toma Albu
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  2. Robert Wisbauer
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Ohio University, Athens, OH, 45701, USA

    S. K. Jain

  2. Department of Mathematics, Ohio State University at Lima, Lima, OH, 45804, USA

    S. Tariq Rizvi

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© 1997 Springer Science+Business Media New York

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Albu, T., Wisbauer, R. (1997). Kasch Modules. In: Jain, S.K., Rizvi, S.T. (eds) Advances in Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1978-1_1

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  • DOI: https://doi.org/10.1007/978-1-4612-1978-1_1

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7364-6

  • Online ISBN: 978-1-4612-1978-1

  • eBook Packages: Springer Book Archive

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