Nearrings and Nearfields: Proceedings of the Conference on Nearrings and Nearfields, Hamburg, Germany July 27 - August 3, 2003

ISBN-13: 9789048168507 / Angielski / Miękka / 2010 / 319 str.

Hubert Kiechle; Alexander Kreuzer; Momme Johs Thomsen

Opis

The present volume is the Proceedings of the 18th International Conference on Nearrings and Nearfields held at the Helmut-Schmidt-Universitat, Universitat der Bundeswehr Hamburg, from July 27 August 3, 2003.

It contains the written versions of the lectures by the five invited speakers. These concern recent developments of planar nearrings, nearrings of mappings, group nearrings and loop-nearrings. One of them is a long and very substantial research paper "The Z-Constrained Conjecture."

They are followed by 13 contributions reflecting the diversity of the subject of nearrings and related structures. Besides the purely algebraic structure theory these papers show many connections of nearring theory with group theory, combinatorics, geometries, and topology. They all contain original research."

Spis treści

Foreword. Acknowledgments. Part I Invited Addresses. On Recent Developments of Planar Nearrings; Wen-Fong Ke. Some Problems Related to Near-rings of Mappings; Carl J. Maxson. Some recent developments in group near-rings; John D. P. Meldrum. Loop-nearrings; Silvia Pianta. The Z-constrained Conjecture; Stuart D. Scott. Part II Contributed Papers. Primeness and Radicals in Near-rings of Continuous Functions; Geoffrey L. Booth. Difference methods and Ferrero pairs; Tim Boykett and Peter Mayr. Zero-Divisor Graphs of Nearrings and Semigroups; C. Alan Cannon, Kent M. Neuerburg, Shane P. Redmond. Additive GS-automata and Syntactic Nearrings; Yuen Fong, Feng-Kuo Huang, Chiou-Shieng Wang. On the Nilpotence of the s-Radical in Matrix Near-Rings; John F.T. Hartney, Anthony M. Matlala. A right radical for right d.g. near-rings; John F.T. Hartney, Danielle S. Rusznyak. From Involution sets, graphs and loops to loop-nearrings; Helmut Karzel, Silvia Pianta, Elena Zizioli. Semi-nearrings of bivariate polynomials over a field; Kent M. Neuerburg. Automorphism Groups Emitting Local Endomorphism Nearrings II; Gary L. Peterson. Planar near-rings, sandwich near-rings and near-rings with right identity; Gerhard Wendt. On the f-Prime Radical of Near-rings; Satyanarayana Bhavanari, Richard Wiegandt. On Finite Goldie Dimension of Mn (N)-Group Nn; Satyanarayana Bhavanari, Syam Prasad Kuncham. Near-rings, Cohomology and Extensions; Mirela Stefanescu.