Near-Rings and Near-Fields

Proceedings of the Conference on Near-Rings and Near-Fields Fredericton, New Brunswick, Canada, July 18-24, 1993
1. Auflage 1995
ISBN: 978-0-7923-3635-8
Verlag: Springer

Buch, Englisch, 278 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1300 g

Reihe: Mathematics and Its Applications

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.
Graduate students of mathematics and algebraists interested in near-ring theory.

Zielgruppe

Research

Autoren/Hrsg.

Bell, Howard E.

Mason, Gordon

Pilz, G.F.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

On the Beginnings and Development of Near-Ring Theory.- Localized Distributivity Conditions.- Endomorphism Near-Rings Through the Ages.- On Regular Near-Ring Modules.- Does R Prime Imply MR(R2) is Simple?.- Essential Nilpotency in Near-Rings.- Completely Prime Ideals and Radicals in Near-Rings.- Connecting Seminearrings to Probability Generating Functions.- Nilpotency and Solvability in Categories.- Centralizer Near-Rings Determined by End G.- On codes from Residue Class Ring Generated Finite Ferrero Pairs.- On Minimal Varieties of Near-Rings.- Syntactic Nearrings.- On Sufficient Conditions for Near-Rings to be Isomorphic.- Simplicity of Some Nonzero-Symmetric Centralizer Near-Rings.- Characterization of Some Finite Ferrero Pairs.- On Planar Local Nearrings and Bacon Spreads.- Construction of Finite Loops of Even Order.- N-Homomorphisms of Topological N-Groups.- The Bicentralizer Nearrings of R.- When is MA(G) a Ring?.- Anshel-Clay Near-Rings and Semiaffine Parallelogramspaces.- On Semi-Endomorphal Modules Over Ore Domains.- Subideals and Normality of Near-Ring Modules.- Endomorphism Nearrings on Finite Groups, a Report.- On the Structure Of Certain 2-Tame Near-Rings.- Rings Which are a Homomorphic Image of a Centralizer Near-Ring.- Homogeneous Maps of Free Ring Modules.- A decoding Strategy for Equal Weight Codes from Ferrero Pairs.