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

ISBN-13: 9789401038027 / Angielski / Miękka / 2012 / 201 str.

Yuen Fong;Carl Maxson; Univ John Meldrum (Dept. of Mathematics

Opis

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.

Spis treści

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.