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Near-Rings and Near-Fields

Proceedings of the Conference on Near-Rings and Near-Fields Fredericton, New Brunswick, Canada, July 18–24, 1993

  • Conference proceedings
  • © 1995

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Editors:
  1. Yuen Fong

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

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  2. Howard E. Bell

    1. Department of Mathematics, Brock University, St. Catherines, Canada

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  3. Wen-Fong Ke

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

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  4. Gordon Mason

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

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  5. Günter Pilz

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

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

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Table of contents (29 papers)

  1. Front Matter

    Pages i-ix
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  2. On the Beginnings and Development of Near-Ring Theory

    • Gerhard Betsch
    Pages 1-11

  3. Localized Distributivity Conditions

    • Henry E. Heatherly
    Pages 13-29

  4. Endomorphism Near-Rings Through the Ages

    • J. J. Malone
    Pages 31-43

  5. On Regular Near-Ring Modules

    • J. Ahsan
    Pages 45-51

  6. Does R Prime Imply M R(R2) is Simple?

    • Scott W. Bagley
    Pages 53-56

  7. Essential Nilpotency in Near-Rings

    • Gary F. Birkenmeier
    Pages 57-61

  8. Completely Prime Ideals and Radicals in Near-Rings

    • G. Birkenmeier, H. Heatherly, E. Lee
    Pages 63-73

  9. Connecting Seminearrings to Probability Generating Functions

    • Donald W. Blackett
    Pages 75-81

  10. Nilpotency and Solvability in Categories

    • S. G. Botha
    Pages 83-88

  11. Centralizer Near-Rings Determined by End g

    • G. Alan Cannon
    Pages 89-111

  12. On Codes From Residue Class Ring Generated Finite Ferrero Pairs

    • Roland A. Eggetsberger
    Pages 113-122

  13. On Minimal Varieties of Near-Rings

    • Y. Fong, K. Kaarli, W.-F. Ke
    Pages 123-131

  14. Syntactic Nearrings

    • Y. Fong, W.-F. Ke, C.-S. Wang
    Pages 133-139

  15. On Sufficient Conditions for Near-Rings to be Isomorphic

    • R. L. Fray
    Pages 141-144

  16. Simplicity of Some Nonzero-Symmetric Centralizer Near-Rings

    • Lucyna Kabza
    Pages 145-151

  17. Characterization of Some Finite Ferrero Pairs

    • Wen-Fong Ke, Hubert Kiechle
    Pages 153-160

  18. On Planar Local Nearrings and Bacon Spreads

    • Emanuel Kolb
    Pages 161-167

  19. Construction of Finite Loops of Even Order

    • Alexander Kreuzer
    Pages 169-179

  20. N-Homomorphisms of Topological N-Groups

    • K. D. Magill Jr.
    Pages 181-191
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Keywords

About this book

Near-Rings and Near-Fields opens with three invited lectures on different aspects of the history of near-ring theory. These are followed by 26 papers reflecting the diversity of the subject in regard to geometry, topological groups, automata, coding theory and probability, as well as the purely algebraic structure theory of near-rings.
Audience: Graduate students of mathematics and algebraists interested in near-ring theory.

Editors and Affiliations

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

    Yuen Fong, Wen-Fong Ke

  • Department of Mathematics, Brock University, St. Catherines, Canada

    Howard E. Bell

  • Department of Mathematics and Statistics, University of New Brunswick, Fredericton, Canada

    Gordon Mason

  • Institute for Mathematics, Johannes Kepler Universität, Linz, Austria

    Günter Pilz

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