Near-Rings and Near-Fields: Proceedings of a Conference Held at the University of Tubingen, F.R.G. 4-10 August, 1985 (North-holland Mathematical Library)

Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory. There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory. Content: Edited by Page iii Copyright page Page iv Preface Page v G. Betsch List of Registered Participants Page vi Introduction Pages vii-xi Non-Commutative Geometry, Near-Rings and Near-Fields Original Research Article Pages 1-13 Johannes André Pseudo-Finite Near-Fields Original Research Article Pages 15-29 Ulrich Felgner On Derivations in Near-Rings Original Research Article Pages 31-35 Howard E. Bell, Gordon Mason Embedding of a Near-Ring into a Near-Ring with Identity Original Research Article Pages 37-40 Gerhard Betsch The Near-Ring of Some One Dimensional Noncommutative Formal Group Laws Original Research Article Pages 41-52 James R. Clay On the Existence of Nil Ideals in Distributive Near-Rings Original Research Article Pages 53-57 S. De Stefano, S. Di Sieno Distributive Near-Rings with Minimal Square Original Research Article Pages 59-62 S. De Stefano, S. Di Sieno Near-Rings with E-Permutable Translations Original Research Article Pages 63-72 Celestina Cotti Ferrero Endomorphism Near-Rings of a Direct Sum of Isomorphic Finite Simple Non-Ablian Groups Original Research Article Pages 73-78 Y. Fong, J.D.P. Meldrum On the Ideal Structure in Ultraproducts of Affine Near-Rings Original Research Article Pages 79-85 Peter Fuchs Radicals of Ω-Groups Defined by Means of Elements Original Research Article Pages 87-96 G.K. Gerber Note on the Completely Prime Radical in Near-Rings Original Research Article Pages 97-100 N.J. Groenewald On p-Adic Nearfields Original Research Article Pages 101-103 Theo Grundhöfer Euclidean Seminearrings and Nearrings Original Research Article Pages 105-121 Udo Hebisch, Hanns Joachim Weinert Ideals and Reachability in Machines Original Research Article Pages 123-131 Gerhard Hofer Couplings and Derived Structures Original Research Article Pages 133-143 Helmut Karzel Maximal Ideals in Near-Rings Original Research Article Pages 145-150 Hermann Kautschitsch D.G. Near-Rings on the Infinite Dihedral Group Original Research Article Pages 151-166 S.J. Mahmood, J.D.P. Meldrum Near-Rings Associated with Covered Groups Original Research Article Pages 167-173 C.J. Maxson Krull Dimension and Tame Near-Rings Original Research Article Pages 175-183 J.D.P. Meldrum, A.P.J. Van Der Walt Solution of an Open Problem Concerning 2-Primitive Near-Rings Original Research Article Pages 185-191 J H Meyer, Andries P J Van Der Walt Are the Jacobson-Radicals of Near-Rings M-Radicals? Original Research Article Pages 193-197 Rainer Mlitz On Medial Near-Rings Original Research Article Pages 199-209 Silvia Pellegrini Manara Near-Rings and Non-Linear Dynamical Systems Original Research Article Pages 211-232 Günter F. Pilz Reduced Near-Rings Original Research Article Pages 233-243 D. Ramakotaiah, V. Sambasivarao Non-Commutative Spaces and Near-Rings Including PBIBD's Planar Near-Rings and Non-Commutative Geometry Original Research Article Pages 245-251 Maic Sasso-Sant On Geometric Near-Rings Original Research Article Pages 253-254 Raffaele Scapellato A Ternary Interpretation of the Infra-Near Rings Original Research Article Pages 255-266 Mirela Stefänescu On Two-Sided Ideals in Matrix Near-Rings Original Research Article Pages 267-271 Andries Pj Van Der Walt Some Pathology for Radicals in Non-Associative Near-Rings Original Research Article Pages 273-275 Stefan Veldsman Partially and Fully Ordered Seminearrings and Nearrings Original Research Article Pages 277-294 Hanns Joachim Weinert On Subdirectly Irreducible Near-Rings Which are Fields Original Research Article Pages 295-298 Richard Wiegandt Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.

There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory.

Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory. There are two invited lectures: Ǹ̀on-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while P̀̀seudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory