Nearrings and Nearfields [electronic resource] : Proceedings of the Conference on Nearrings and Nearfields, Hamburg, Germany July 27-August 3, 2003 / edited by Hubert Kiechle, Alexander Kreuzer, Momme Johs Thomsen.

Invited Addresses -- On Recent Developments of Planar Nearrings -- Some Problems Related to Near-Rings of Mapping -- Some Recent Developments in Group Near-Rings -- Loop-Nearrings -- The Z-Constrained Conjecture -- Contributed Papers -- Primeness and Radicals in Near-Rings of Continuous Functions -- Difference Methods and Ferrero Pairs -- Zero-Divisor Graphs of Nearrings and Semigroups -- Additive Gs-Automata and Syntactic Nearrings -- On the Nilpotence of the S-Radical in Matrix Near-Rings -- A Right Radical for Right D.G. Near-Rings -- From Involution Sets, Graphs and Loops to Loop-Nearrings -- Semi-Nearrings of Bivariate Polynomials over a Field -- Automorphism Groups Emitting Local Endomorphism Nearrings II -- Planar Near-Rings, Sandwich Near-Rings and Near-Rings with Right Identity -- On the f-Prime Radical of Near-Rings -- On Finite Goldie Dimension of Mn(N)-Group Nn -- Near-Rings, Cohomology and Extensions.

The present volume is the Proceedings of the 18th International Conference on Nearrings and Nearfields held at the Helmut-Schmidt-Universität, Universität 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.