Nearrings and Nearfields Proceedings of the Conference on Nearrings
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NEARRINGS AND NEARFIELDS Proceedings of the Conference on Nearrings and Nearfields, Hamburg, Germany July 27–August 3, 2003
Edited by
HUBERT KIECHLE Universität Hamburg, Germany
ALEXANDER KREUZER Universität Hamburg, Germany and
MOMME JOHS THOMSEN Universität der Bundeswehr Hamburg, Germany
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN-10 1-4020-3390-7 (HB) Springer Dordrecht, Berlin, Heidelberg, New York ISBN-10 1-4020-3391-5 (e-book) Springer Dordrecht, Berlin, Heidelberg, New York ISBN-13 978-1-4020-3390-2 (HB) Springer Dordrecht, Berlin, Heidelberg, New York ISBN-13 978-1-4020-3391-9 (e-book) Springer Dordrecht, Berlin, Heidelberg, New York
Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands.
Printed on acid-free paper
All Rights Reserved © 2005 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Printed in the Netherlands.
Contents
Foreword Acknowledgments
Part I
vii x
Invited Addresses
On Recent Developments of Planar Nearrings Wen-Fong Ke
3
Some Problems Related to Near-rings of Mappings Carl J. Maxson
25
Some Recent Developments in Group Near-rings John D. P. Meldrum
35
Loop-nearrings Silvia Pianta
57
The Z -Constrained Conjecture Stuart D. Scott
69
Part II Contributed Papers Primeness and Radicals in Near-rings of Continuous Functions Geoffrey L. Booth
171
Difference Methods and Ferrero Pairs Tim Boykett and Peter Mayr
177
Zero-Divisor Graphs of Nearrings and Semigroups G. Alan Cannon, Kent M. Neuerburg, Shane P. Redmond
189
Additive GS-Automata and Syntactic Nearrings Yuen Fong, Feng-Kuo Huang, Chiou-Shieng Wang
201
On the Nilpotence of the s-Radical in Matrix Near-rings John F.T. Hartney, Anthony M. Matlala
217
vi
NEARRINGS AND NEARFIELDS
A Right Radical for Right d.g. Near-rings John F.T. Hartney, Danielle S. Rusznyak
225
From Involution Sets, Graphs and Loops to Loop-nearrings Helmut Karzel, Silvia Pianta, Elena Zizioli
235
Semi-nearrings of Bivariate Polynomials over a Field Kent M. Neuerburg
253
Automorphism Groups Emitting Local Endomorphism Nearrings II Gary L. Peterson
263
Planar Near-rings, Sandwich Near-rings and Near-Rings with Right Identity277 Gerhard Wendt On the f -Prime Radical of Near-rings Satyanarayana Bhavanari, Richard Wiegandt
293
On Finite Goldie Dimension of Mn (N )-Group N n Satyanarayana Bhavanari, Syam Prasad Kuncham
301
Near-rings, Cohomology and Extensions Mirela S ¸ tef˘ f nescu
311
Foreword
This present volume is the Proceedings of the 18th International Conference on Nearrings and Nearfields held in Hamburg at the Universit¨ at der Bundeswehr Hamburg from July 27 to August 03, 2003. This Conference wa
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