Near-Rings and Near-Fields: Proceedings of the Conference on Near-Rings and Near-Fields Fredericton, New Brunswick, Canada, July 18-24, 1993 / Edition 1

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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.

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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: 9780792336358
  • Publisher: Springer Netherlands
  • Publication date: 7/31/1995
  • Series: Mathematics and Its Applications (closed) Series , #336
  • Edition description: 1995
  • Edition number: 1
  • Pages: 278
  • Product dimensions: 0.75 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

Foreword. Invited addresses. On the beginnings and development of near-ring theory; G. Betsch. Localized distributivity conditions; H.E. Heatherly. Endomorphism near-rings through the ages; J.J. Malone. Contributed papers. On regular near-ring modules; J. Ahsan. Does R prime imply MR(R2) is simple? S.W. Bagley. Essential nilpotency in near-rings; G.F. Birkenmeier. Completely prime ideals and radicals in near-rings; G. Birkenmeier, et al. Connecting seminearrings to probability generating functions; D.W. Blackett. Nilpotency and solvability in categories; S.G. Botha. Centralizer near-rings determined by End G; G.A. Cannon. On codes from residue class ring generated finite Ferrero pairs; R.A. Eggetsberger. On minimal varieties of near-rings; Y. Fong, et al. Syntactic nearrings; Y. Fong, et al. On sufficient conditions for near-rings to be isomorphic; R.L. Fray. Simplicity of some nonzero-symmetric centralizer near-rings; L. Kabza. Characterization of some finite Ferrero pairs; W.-F. Ke, H. Kiechle. On planar local nearrings and Bacon spreads; E. Kolb. Construction of finite loops of even order; A. Kreuzer. N-homomorphisms of topological N-groups; J.D. Magill Jr. The bicentralizer nearrings of R; K.D. Magill Jr., P.R. Misra. When is MA(G) a ring? C.J. Maxson. Anshei-Clay near-rings and semiaffine parallelogram spaces; H.H. Ney. On semi-endomorphal modules over Ore domains; D. Niewieczerzal. Subideals and normality of near-ring modules; G.L. Peterson. Endomorphism nearrings on finite groups, a report; G. Saad, et al. On the structure of certain 2-tame near-rings; S.D. Scott. Rings which are a homomorphic image of a centralizer near-ring; K.C. Smith. Homogeneous maps of free ring modules; A.B. van der Merwe. A decoding strategy for equal weight codes from Ferrero pairs; G.G. Wagner.
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