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Endomorphism Near-Rings Through the Ages

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Book cover Near-Rings and Near-Fields

Part of the book series: Mathematics and Its Applications ((MAIA,volume 336))

Abstract

For some 35 years problems concerning morphism near-rings have been studied. In this paper, three areas of such investigation are surveyed, and significant unsolved or partially solved problems from each area are discussed. The first area is centered about the question as to whether an arbitrary distributively generated near-ring can be embedded in some E(G). The motivating problem of the second area is the determination of the groups G such that E(G) is a ring. The third area is typified by the problem of finding the groups G such that I(G) = E(G). The first two areas seem to lie fallow at the moment; the third area is one of current investigation.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, 01609-2280, MA, USA

    J. J. Malone

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  1. J. J. Malone
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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, Brock University, St. Catherines, Ontario, Canada

    Howard E. Bell

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

    Wen-Fong Ke

  4. Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada

    Gordon Mason

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

    Günter Pilz

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© 1995 Springer Science+Business Media Dordrecht

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Malone, J.J. (1995). Endomorphism Near-Rings Through the Ages. In: Fong, Y., Bell, H.E., Ke, WF., Mason, G., Pilz, G. (eds) Near-Rings and Near-Fields. Mathematics and Its Applications, vol 336. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0359-6_3

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  • DOI: https://doi.org/10.1007/978-94-011-0359-6_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4160-7

  • Online ISBN: 978-94-011-0359-6

  • eBook Packages: Springer Book Archive

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