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On Semi-Endomorphisms of Abelian Groups

In: Near-Rings and Near-Fields

Author

Listed:
  • Y. Fong

    (National Cheng Kung University, Department of Mathematics)

  • W.-F. Ke

    (National Cheng Kung University, Department of Mathematics)

  • F.-K. Huang

    (University of Southwestern Louisiana, Department of Mathematics)

  • Y.-N. Yeh

    (Academia Sinica, Institute of Mathematics)

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.

Suggested Citation

  • Y. Fong & W.-F. Ke & F.-K. Huang & Y.-N. Yeh, 2001. "On Semi-Endomorphisms of Abelian Groups," Springer Books, in: Yuen Fong & Carl Maxson & John Meldrum & Günter Pilz & Andries van der Walt & Leon van Wyk (ed.), Near-Rings and Near-Fields, pages 72-78, Springer.
    • Handle: RePEc:spr:sprchp:978-94-010-0954-6_7
    DOI: 10.1007/978-94-010-0954-6_7
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