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On Semi-Endomorphisms of Abelian Groups

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Near-Rings and Near-Fields

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Abstract

In this paper we investigate the properties of the semi-endomorphism near-rings of abelian groups, and describe the semi-endomorphisms of finitely generated abelian groups. Specifically, characterizations of groups G are given when the semi-endomorphism nearring of G is the endomorphism rings of G, and when the semi-endomorphism nearring is the full transformation nearring M(G); and an explicit description of the semi-endomorphisms of finitely generated abelian groups is given.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Cheng Kung University, Tainan, Taiwan

    Y. Fong & W.-F. Ke

  2. Department of Mathematics, University of Southwestern Louisiana, Lafayette, LA, 70504, USA

    F.-K. Huang

  3. Institute of Mathematics, Academia Sinica, Nankang, Taipei, Taiwan

    Y.-N. Yeh

Authors
  1. Y. Fong
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  2. W.-F. Ke
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  3. F.-K. Huang
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  4. Y.-N. Yeh
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Editor information

Editors and Affiliations

  1. Department of Mathematics, National Cheng Kung University, Tainan, Taiwan, Republic of China

    Yuen Fong

  2. Department of Mathematics, Texas A & M University, College Station, Texas, USA

    Carl Maxson

  3. Department of Mathematics, University of Edinburgh, Edinburgh, Scotland

    John Meldrum

  4. Institute for Mathematics, Johannes Kepler Universität Linz, Linz, Austria

    Günter Pilz

  5. Department of Mathematics, University of Stellenbosch, Stellenbosch, South Africa

    Andries van der Walt  & Leon van Wyk  & 

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© 2001 Springer Science+Business Media Dordrecht

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Fong, Y., Ke, WF., Huang, FK., Yeh, YN. (2001). On Semi-Endomorphisms of Abelian Groups. In: Fong, Y., Maxson, C., Meldrum, J., Pilz, G., van der Walt, A., van Wyk, L. (eds) Near-Rings and Near-Fields. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0954-6_7

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  • DOI: https://doi.org/10.1007/978-94-010-0954-6_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3802-7

  • Online ISBN: 978-94-010-0954-6

  • eBook Packages: Springer Book Archive

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