Ebook: Nearrings, Nearfields and K-Loops: Proceedings of the Conference on Nearrings and Nearfields, Hamburg, Germany, July 30–August 6,1995

This present volume is the Proceedings of the 14th International Conference on Near­ rings and Nearfields held in Hamburg at the Universitiit der Bundeswehr Hamburg, from July 30 to August 06, 1995. This Conference was attended by 70 mathematicians and many accompanying persons who represented 22 different countries from all five continents. Thus it was the largest conference devoted entirely to nearrings and nearfields. The first of these conferences took place in 1968 at the Mathematische For­ schungsinstitut Oberwolfach, Germany. This was also the site of the conferences in 1972, 1976, 1980 and 1989. The other eight conferences held before the Hamburg Conference took place in eight different countries. For details about this and, more­ over, for a general historical overview of the development of the subject, we refer to the article "On the beginnings and development of near-ring theory" by G. Betsch [3]. During the last forty years the theory of nearrings and related algebraic struc­ tures like nearfields, nearmodules, nearalgebras and seminearrings has developed into an extensive branch of algebra with its own features. In its position between group theory and ring theory, this relatively young branch of algebra has not only a close relationship to these two more well-known areas of algebra, but it also has, just as these two theories, very intensive connections to many further branches of mathematics.

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This present volume is the Proceedings of the 14th International Conference on Nearrings and Nearfields held in Hamburg at the Universit?t der Bundeswehr Hamburg, from July 30 to August 6, 1995.
It contains the written version of five invited lectures concerning the development from nearfields to K-loops, non-zerosymmetric nearrings, nearrings of homogeneous functions, the structure of Omega-groups, and ordered nearfields. They are followed by 30 contributed papers reflecting the diversity of the subject of nearrings and related structures with respect to group theory, combinatorics, geometry, topology as well as the purely algebraic structure theory of these algebraic structures.
Audience: This book will be of value to graduate students of mathematics and algebraists interested in the theory of nearrings and related algebraic structures.

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This present volume is the Proceedings of the 14th International Conference on Nearrings and Nearfields held in Hamburg at the Universit?t der Bundeswehr Hamburg, from July 30 to August 6, 1995.
It contains the written version of five invited lectures concerning the development from nearfields to K-loops, non-zerosymmetric nearrings, nearrings of homogeneous functions, the structure of Omega-groups, and ordered nearfields. They are followed by 30 contributed papers reflecting the diversity of the subject of nearrings and related structures with respect to group theory, combinatorics, geometry, topology as well as the purely algebraic structure theory of these algebraic structures.
Audience: This book will be of value to graduate students of mathematics and algebraists interested in the theory of nearrings and related algebraic structures.
Content:
Front Matter....Pages i-xiii
From Nearrings and Nearfields to K-Loops....Pages 1-20
On Non-Zerosymmetric Near-Rings with Minimum Condition....Pages 21-33
The Structure of ?-Groups....Pages 35-46
Ordered Nearfields....Pages 47-137
Strongly Idempotent Seminearrings and Their Prime Ideal Spaces....Pages 139-149
A Note on Simple Composition Rings....Pages 151-166
The Cardinalities of the Endomorphism Near-Rings I(G), A(G), AND E(G) for All Groups G with |G| ? 31....Pages 167-173
Polynomial Near-Rings: Polynomials with Coefficients from a Near-Ring....Pages 175-178
On Derivations in Near-Rings, II....Pages 179-190
Near-Rings and Rings Generated by Homomorphisms on Groups....Pages 191-197
Special Radicals of ?-Groups....Pages 199-210
Quasi-Ideals and Bi-Ideals in Categories....Pages 211-218
Seminearrings of Polynomials Over Semifields: A Note on Blackett’s Fredericton Paper....Pages 219-224
Circles and Their Interior Points from Field Generated Ferrero Pairs....Pages 225-236
On Direct Decompositions in Group Near-Rings....Pages 237-246
On Involution Sets Induced by Neardomains....Pages 247-252
Superprime Near-Rings....Pages 253-258
Involutions on Universal Algebras....Pages 259-267
Fibered Incidence Loops by Neardomains....Pages 269-282
The Structure Group of Certain K-Loops....Pages 283-286
Some Examples of Indecomposable Modules....Pages 287-294
Central Bol Loops....Pages 295-299
Products on Products on Groups....Pages 301-310
Topological N-Groups Where the Nearrings are Real Nearrings....Pages 311-323
Tensor Product of Near-Ring Modules....Pages 325-333
Nilpotence and Endomorphism Near-Rings....Pages 335-342
Distributively Generated Subrings of Homogeneous Maps....Pages 343-352
Composition Near-Rings....Pages 353-356
Categories of Near-Rings....Pages 357-372
The Inner Automorphism Nearrings I(G) on all Nonabelian Groups G of Order |G| ? 100....Pages 373-375
Special Quasigroups and Steiner Systems....Pages 377-402
Near-Rings in Connection with Non-Abelian Cohomology of Groups....Pages 403-416
On the Salient Properties of Near-Ring Radicals....Pages 417-429
Back Matter....Pages 431-435
....Pages 437-444