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

__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. Front Matter....Pages i-ix On the Beginnings and Development of Near-Ring Theory....Pages 1-11 Localized Distributivity Conditions....Pages 13-29 Endomorphism Near-Rings Through the Ages....Pages 31-43 On Regular Near-Ring Modules....Pages 45-51 Does R Prime Imply M R (R 2 ) is Simple?....Pages 53-56 Essential Nilpotency in Near-Rings....Pages 57-61 Completely Prime Ideals and Radicals in Near-Rings....Pages 63-73 Connecting Seminearrings to Probability Generating Functions....Pages 75-81 Nilpotency and Solvability in Categories....Pages 83-88 Centralizer Near-Rings Determined by End g ....Pages 89-111 On Codes From Residue Class Ring Generated Finite Ferrero Pairs....Pages 113-122 On Minimal Varieties of Near-Rings....Pages 123-131 Syntactic Nearrings....Pages 133-139 On Sufficient Conditions for Near-Rings to be Isomorphic....Pages 141-144 Simplicity of Some Nonzero-Symmetric Centralizer Near-Rings....Pages 145-151 Characterization of Some Finite Ferrero Pairs....Pages 153-160 On Planar Local Nearrings and Bacon Spreads....Pages 161-167 Construction of Finite Loops of Even Order....Pages 169-179 N -Homomorphisms of Topological N -Groups....Pages 181-191 The Bicentralizer Nearrings of R....Pages 193-198 When is M A ( G ) a Ring?....Pages 199-202 Anshel-Clay Near-Rings and Semiaffine Parallelogramspaces....Pages 203-207 On Semi-Endomorphal Modules Over Ore Domains....Pages 209-212 Subideals and Normality of Near-Ring Modules....Pages 213-225 Endomorphism Nearrings on Finite Groups, a Report....Pages 227-238 On the Structure of Certain 2-Tame Near-Rings....Pages 239-256 Rings which are a Homomorphic Image of a Centralizer Near-Ring....Pages 257-270 Homogeneous Maps of Free Ring Modules....Pages 271-273 A Decoding Strategy for Equal Weight Codes From Ferrero Pairs....Pages 275-278 Proceedings of the Conference on Near-Rings and Near-Fields, Fredericton, N.B., Canada, July 18--24, 1993