Near Rings And Near Fields
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Author |
: G. Betsch |
Publisher |
: Elsevier |
Total Pages |
: 313 |
Release |
: 2011-09-22 |
ISBN-10 |
: 9780080872483 |
ISBN-13 |
: 0080872484 |
Rating |
: 4/5 (83 Downloads) |
Synopsis Near-Rings and Near-Fields by : G. Betsch
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.
Author |
: Yuen Fong |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 271 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9789401103596 |
ISBN-13 |
: 9401103593 |
Rating |
: 4/5 (96 Downloads) |
Synopsis Near-Rings and Near-Fields by : Yuen Fong
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.
Author |
: Robert Lockhart |
Publisher |
: Springer Nature |
Total Pages |
: 555 |
Release |
: 2021-11-14 |
ISBN-10 |
: 9783030817558 |
ISBN-13 |
: 3030817555 |
Rating |
: 4/5 (58 Downloads) |
Synopsis The Theory of Near-Rings by : Robert Lockhart
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.
Author |
: Howard E Bell |
Publisher |
: |
Total Pages |
: 292 |
Release |
: 1995-07-31 |
ISBN-10 |
: 9401103607 |
ISBN-13 |
: 9789401103602 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Near-Rings and Near-Fields by : Howard E Bell
Author |
: W. B. Vasantha Kandasamy |
Publisher |
: Infinite Study |
Total Pages |
: 201 |
Release |
: 2002 |
ISBN-10 |
: 9781931233668 |
ISBN-13 |
: 1931233667 |
Rating |
: 4/5 (68 Downloads) |
Synopsis Smarandache Near-Rings by : W. B. Vasantha Kandasamy
Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S. These types of structures occur in our everyday life, that's why we study them in this book. Thus, as a particular case: A Near-Ring is a non-empty set N together with two binary operations '+' and '.' such that (N, +) is a group (not necessarily abelian), (N, .) is a semigroup. For all a, b, c in N we have (a + b) . c = a . c + b . c. A Near-Field is a non-empty set P together with two binary operations '+' and '.' such that (P, +) is a group (not necessarily abelian), (P \ {0}, .) is a group. For all a, b, c I P we have (a + b) . c = a . c + b . c. A Smarandache Near-ring is a near-ring N which has a proper subset P in N, where P is a near-field (with respect to the same binary operations on N).
Author |
: Kuncham Syam Prasad |
Publisher |
: |
Total Pages |
: 324 |
Release |
: 2016 |
ISBN-10 |
: 9813207361 |
ISBN-13 |
: 9789813207363 |
Rating |
: 4/5 (61 Downloads) |
Synopsis Near Rings, Near Fields, and Related Topics by : Kuncham Syam Prasad
"Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings. The forward note by Günter Pilz (Johannes Kepler University, Austria) explains about past developments and future prospects in the theory of nearrings and nearfields. Certain applications of nearrings are found in a few chapters. Some of the chapters are independent; however flow is maintained in all the chapters. It also include few chapters of exploratory approach."--Publisher's website.
Author |
: Kuncham Syam Prasad |
Publisher |
: World Scientific |
Total Pages |
: 324 |
Release |
: 2016-11-28 |
ISBN-10 |
: 9789813207370 |
ISBN-13 |
: 981320737X |
Rating |
: 4/5 (70 Downloads) |
Synopsis Nearrings, Nearfields And Related Topics by : Kuncham Syam Prasad
Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G
Author |
: |
Publisher |
: Elsevier |
Total Pages |
: 487 |
Release |
: 2011-10-10 |
ISBN-10 |
: 9780080871349 |
ISBN-13 |
: 0080871348 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Near-rings: The Theory and its Applications by :
Near-rings: The Theory and its Applications
Author |
: Hubert Kiechle |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 338 |
Release |
: 2005-04-19 |
ISBN-10 |
: 1402033907 |
ISBN-13 |
: 9781402033902 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Nearrings and Nearfields by : Hubert Kiechle
The present volume is the Proceedings of the 18th International Conference on Nearrings and Nearfields held at the Helmut-Schmidt-Universität, Universität der Bundeswehr Hamburg, from July 27 – August 3, 2003. It contains the written versions of the lectures by the five invited speakers. These concern recent developments of planar nearrings, nearrings of mappings, group nearrings and loop-nearrings. One of them is a long and very substantial research paper "The Z-Constrained Conjecture". They are followed by 13 contributions reflecting the diversity of the subject of nearrings and related structures. Besides the purely algebraic structure theory these papers show many connections of nearring theory with group theory, combinatorics, geometries, and topology. They all contain original research.
Author |
: |
Publisher |
: |
Total Pages |
: 212 |
Release |
: 1983 |
ISBN-10 |
: UOM:39015017317002 |
ISBN-13 |
: |
Rating |
: 4/5 (02 Downloads) |
Synopsis Abstracts from Seventh International Conference on Near-Rings and Near-Fields by :