On Semi-Endomorphisms of Abelian Groups

Y. Fong, W.-F. Ke, F.-K. Huang and Y.-N. Yeh
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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

A chapter in Near-Rings and Near-Fields, 2001, pp 72-78 from Springer

Abstract: 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.

Keywords: Abelian Group; Nonempty Subset; Explicit Description; Endomorphism Ring; Pitman Publ (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0954-6_7

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DOI: 10.1007/978-94-010-0954-6_7

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