Near-Rings and Near-Fields: Proceedings of the Conference on Near-Rings and Near-Fields, Stellenbosch, South Africa, July 9-16, 1997 / Edition 1

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The present volume contains the written version of three invited lectures and sixteen papers presented in the International Conference on Near-Rings and Near-Fields held in Stellenbosch, South Africa. These articles reflect contemporary research activities on the algebraic structure theory of near-rings and the interaction they have with group theory, geometry and combinatorics.
Audience: This book will be of value to graduate students of mathematics and algebraists interested in all aspects of the near-ring theory.
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Editorial Reviews

Contains the written version of three invited lectures and 16 papers delivered at the July 1997 conference. These articles reflect current research activities on the algebraic structure theory of near-rings and the interaction they have with group theory, geometry and combinatorics. Topics include weakly divisible near-rings and their links with designs, semi-endomorphisms of abelian groups, s-primitive ideals in matrix near-rings, and dependence and independence in near- rings, the number of isomorphism classes of d.g. near-rings on the generalized quaternion groups, and topology and primary N-groups. No index. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780792367062
  • Publisher: Springer Netherlands
  • Publication date: 12/31/2000
  • Edition description: 2001
  • Edition number: 1
  • Pages: 216
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.63 (d)

Table of Contents

Foreword. Invited talks. Combinatorial aspects of nearring theory; To the memory of James Ray Clay; G. Betsch. Left self-distributive rings and nearrings; G.F. Birkenmeier. On the development of matrix nearrings and related nearrings over the past decade; I.J.H. Meyer. Contributed papers. The use of computers in near-ring theory; E. Aichinger, et al. Some results on derivations in nearrings; N. Argaç, H.E. Bell. Weakly divisible nearrings: genesis, construction and their links with designs; A. Benini, et al. On semi-endomorphisms of Abelian groups; Yuen Fong, et al. A note on pseudo-distributivity in group near-rings; R.L. Fray. The almost nilpotent radical for near rings; N.J. Groenewald. Polynomial near-rings in several variables; J. Gutierrez, C. Ruiz de Velasco. s-primitive ideals in matrix near-rings; J.F.T. Hartney, S. Mavhungu. Essential ideals and R-subgroups in near-rings; A.A.M. Kamal. Conditions that MA(G) is a ring; Fu-an Li. On dependence and independence in near-rings; H. McGilvray, C.J. Maxson. On modules of homogeneous mappings; D. Niewieczerzal. The number of isomorphism classes of d.g. near-rings on the generalized quaternion groups; C. Nöbauer. Matrix near-ring? Part 2; A. Oswald, et al. Topology and primary N-groups; S.D. Scott. On the radicals of composition near-rings; S. Veldsman.

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