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Endomorphism near-rings

Published online by Cambridge University Press:  20 January 2009

J. J. Malone  and
C. G. Lyons
C. G. Lyons
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843
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The study of near-rings is motivated by consideration of the system generated by the endomorphisms of a (not necessarily commutative) group. Such endomorphism near-rings also furnish the motivation for the concept of a distributively generated (d.g.) near-ring. Although d.g. near-rings have been extensively studied, little is known about the structure of endomorphism near-rings. In this paper results are presented which enable one to give the elements of the endomorphism near-ring of a given group. Also, some results relating to the right ideal structure of an endomorphism near-ring are presented. These concepts are applied to present a detailed picture of the properties of the endomorphism near-ring of (S3, +).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , Issue 1 , June 1970 , pp. 71 - 78
Copyright
Copyright © Edinburgh Mathematical Society 1970

References

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