Robert Lockhart: The Theory of Near-Rings

Cover: 9783030817541 | The Theory of Near-Rings | Robert Lockhart | Taschenbuch | Paperback

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Sprache: Englisch

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Beschreibung

This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new.
The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology.

The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.

Über den Autor

Robert Lockhart has worked in mathematics at universities in London, Nigeria, New Guinea, Brunei, Milton Keynes and Oxford, where he also worked simultaneously in computing. He has enjoyed a parallel career in computing, as one of the original programmer-designers for the multi award-winning British Telecom Prestel project, as part of a research project funded by the European Union, and at the Atlas laboratory for the Rutherford-Appleton laboratory. He has published research papers on algebra, conservation biology, and modern computing. For the past twenty years he has worked mainly in distance and online education. Throughout his career he has been a regular contributor to near-ring conferences and a member of the London Mathematical Society.

Zusammenfassung

An introduction to near-rings with many new contributions

Includes the first detailed English-language account of the theory of near-fields

Presents new ideas and problems for further research

Inhaltsverzeichnis

1 Stems, Mappings and Near-Rings.- 2 Near-Ring Theory.- 3 Near-Fields.- 4 Near-Rings on Groups with Low Order.- 5 Near-Rings on Some Families of Groups.- 6 Near-Rings Hosted by p-Groups and Related Groups.- 7 Transformation Near-Rings.- 8 Generalisations and Sub-Near-Rings of Transformation Near-Rings.- 9 Phomomorphisms.- 10 Specific Examples.- 11 Modules.- 12 Radicals.- 13 Matrices.- 14 F-Near-Rings.- 15 Product Theory.- 16 Product Theory on Finite Elementary Abelian Groups.- A Isotopy.- B Near-Ring Products on D4.- C Other Structures of Interest.- D Semi-Linear Mappings.- E Zsigmondy's Theorem.- Bibliography.- Afterword.- Index.

Details

Erscheinungsjahr:	2021
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Lecture Notes in Mathematics
Inhalt:	xxxv 537 S.
ISBN-13:	9783030817541
ISBN-10:	3030817547
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Lockhart, Robert
Auflage:	1st ed. 2021
Hersteller:	Springer International Publishing Springer International Publishing AG Lecture Notes in Mathematics
Maße:	235 x 155 x 31 mm
Von/Mit:	Robert Lockhart
Erscheinungsdatum:	14.11.2021
Gewicht:	0,861 kg

Artikel-ID: 120255400