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Nearrings, Nearfields and K-Loops

Proceedings of the Conference on Nearrings and Nearfields, Hamburg, Germany, July 30–August 6,1995

  • Conference proceedings
  • © 1997

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Editors:
  1. Gerhard Saad

    1. Universität der Bundeswehr Hamburg, Hamburg, Germany

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  2. Momme Johs Thomsen

    1. Universität der Bundeswehr Hamburg, Hamburg, Germany

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Part of the book series: Mathematics and Its Applications (MAIA, volume 426)

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Table of contents (35 papers)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Invited Addresses

    1. From Nearrings and Nearfields to K-Loops

      • Helmut Karzel
      Pages 1-20

    2. On Non-Zerosymmetric Near-Rings with Minimum Condition

      • Kalle Kaarli
      Pages 21-33

    3. Near-Rings of Homogeneous Functions, P 3

      • Carl J. Maxson
      Pages 35-46

    4. The Structure of Ω-Groups

      • Stuart D. Scott
      Pages 47-137

    5. Ordered Nearfields

      • Heinz Wähling
      Pages 139-149

  3. Contributed Papers

    1. Strongly Idempotent Seminearrings and Their Prime Ideal Spaces

      • Javed Ahsan, Liu Zhongkui
      Pages 151-166

    2. A Note on Simple Composition Rings

      • Erhard Aichinger
      Pages 167-173

    3. The Cardinalities of the Endomorphism Near-Rings I(G), A(G), AND E(G) for All Groups G with |G| ≤ 31

      • Erhard Aichinger, Christof Nöbauer
      Pages 175-178

    4. Polynomial Near-Rings: Polynomials with Coefficients from a Near-Ring

      • Scott W. Bagley
      Pages 179-190

    5. On Derivations in Near-Rings, II

      • Howard E. Bell
      Pages 191-197

    6. Near-Rings and Rings Generated by Homomorphisms on Groups

      • Gary F. Birkenmeier, Henry E. Heatherly, Günter F. Pilz
      Pages 199-210

    7. Special Radicals of Ω-Groups

      • Geoffrey L. Booth, Nico J. Groenewald
      Pages 211-218

    8. Quasi-Ideals and Bi-Ideals in Categories

      • Suzette G. Botha
      Pages 219-224

    9. Seminearrings of Polynomials Over Semifields: A Note on Blackett’s Fredericton Paper

      • Tim Boykett
      Pages 225-236

    10. Circles and Their Interior Points from Field Generated Ferrero Pairs

      • Roland A. Eggetsberger
      Pages 237-246

    11. On Direct Decompositions in Group Near-Rings

      • Roland L. Fray
      Pages 247-252

    12. On Involution Sets Induced by Neardomains

      • Christian M. Gabriel
      Pages 253-258

    13. Superprime Near-Rings

      • Nico J. Groenewald
      Pages 259-267

    14. Involutions on Universal Algebras

      • Henry E. Heatherly, Enoch K. S. Lee, Richard Wiegandt
      Pages 269-282
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About this book

This present volume is the Proceedings of the 14th International Conference on Near­ rings and Nearfields held in Hamburg at the Universitiit der Bundeswehr Hamburg, from July 30 to August 06, 1995. This Conference was attended by 70 mathematicians and many accompanying persons who represented 22 different countries from all five continents. Thus it was the largest conference devoted entirely to nearrings and nearfields. The first of these conferences took place in 1968 at the Mathematische For­ schungsinstitut Oberwolfach, Germany. This was also the site of the conferences in 1972, 1976, 1980 and 1989. The other eight conferences held before the Hamburg Conference took place in eight different countries. For details about this and, more­ over, for a general historical overview of the development of the subject, we refer to the article "On the beginnings and development of near-ring theory" by G. Betsch [3]. During the last forty years the theory of nearrings and related algebraic struc­ tures like nearfields, nearmodules, nearalgebras and seminearrings has developed into an extensive branch of algebra with its own features. In its position between group theory and ring theory, this relatively young branch of algebra has not only a close relationship to these two more well-known areas of algebra, but it also has, just as these two theories, very intensive connections to many further branches of mathematics.

Editors and Affiliations

  • Universität der Bundeswehr Hamburg, Hamburg, Germany

    Gerhard Saad, Momme Johs Thomsen

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