Near-rings: The Theory and its Applications
Author:
Publisher: Elsevier
Published: 2011-10-10
Total Pages: 487
ISBN-13: 0080871348
DOWNLOAD EBOOKNear-rings: The Theory and its Applications
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Near-rings
Author: Günter Pilz
Publisher: North Holland
Published: 1983
Total Pages: 470
ISBN-13: 9780444867506
DOWNLOAD EBOOKNear-Rings and Near-Fields
Author: G. Betsch
Publisher: Elsevier
Published: 2011-09-22
Total Pages: 313
ISBN-13: 0080872484
DOWNLOAD EBOOKMost 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.
The Theory of Near-Rings
Author: Robert Lockhart
Publisher: Springer Nature
Published: 2021-11-14
Total Pages: 555
ISBN-13: 3030817555
DOWNLOAD EBOOKThis 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.
Near Rings, Fuzzy Ideals, and Graph Theory
Author: Bhavanari Satyanarayana
Publisher: CRC Press
Published: 2013-05-21
Total Pages: 480
ISBN-13: 1439873119
DOWNLOAD EBOOKNear Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations.After introducing all of the necessary fundamentals of algebraic systems, the book presents the essentials of near rings theory,
Near Rings, Fuzzy Ideals, and Graph Theory
Author: Bhavanari Satyanarayana
Publisher: CRC Press
Published: 2013-05-21
Total Pages: 482
ISBN-13: 1439873100
DOWNLOAD EBOOKNear Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations. After introducing all of the necessary fundamentals of algebraic systems, the book presents the essentials of near rings theory, relevant examples, notations, and simple theorems. It then describes the prime ideal concept in near rings, takes a rigorous approach to the dimension theory of N-groups, gives some detailed proofs of matrix near rings, and discusses the gamma near ring, which is a generalization of both gamma rings and near rings. The authors also provide an introduction to fuzzy algebraic systems, particularly the fuzzy ideals of near rings and gamma near rings. The final chapter explains important concepts in graph theory, including directed hypercubes, dimension, prime graphs, and graphs with respect to ideals in near rings. Near ring theory has many applications in areas as diverse as digital computing, sequential mechanics, automata theory, graph theory, and combinatorics. Suitable for researchers and graduate students, this book provides readers with an understanding of near ring theory and its connection to fuzzy ideals and graph theory.
Near-Rings and Applications
Author: Anil Kumar Kashyap
Publisher: LAP Lambert Academic Publishing
Published: 2011-09
Total Pages: 124
ISBN-13: 9783845477169
DOWNLOAD EBOOKABOUT THE BOOK The book (thesis) Near-rings and Applications has been written for my Ph. D. degree, which is usual for those scholar which are involved for research in the field of Near-rings and its applications and also for post graduate students. The contents of the book is divided into five chapters.Chapter one, two, three and four contains introduction and different properties of Near-rings and concluding chapter five contains applications of Near-rings to Coding theory. Specially in this book author wants to express his ideas about, how the structure of planar near-rings is applicable to construct binary code and balanced incomplete block designs of high efficiency to develop error correcting codes. In this book each chapter is saturated with much needed text.Language of the text is lucid and easy to understand.
Ring Theory and Its Applications
Author: Dinh Van Huynh
Publisher: American Mathematical Soc.
Published: 2014-02-21
Total Pages: 330
ISBN-13: 0821887971
DOWNLOAD EBOOKThis volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics Conference, held from May 25-27, 2012, at The Ohio State University, Columbus, Ohio. Included are expository articles and research papers covering topics such as cyclically presented modules, Eggert's conjecture, the Mittag-Leffler conditions, clean rings, McCoy rings, QF rings, projective and injective modules, Baer modules, and Leavitt path algebras. Graduate students and researchers in many areas of algebra will find this volume valuable as the papers point out many directions for future work; in particular, several articles contain explicit lists of open questions.
Rings and Nearrings
Author: Mikhail Chebotar
Publisher: Walter de Gruyter
Published: 2011-12-22
Total Pages: 177
ISBN-13: 3110912163
DOWNLOAD EBOOKThis volume consists of seven papers related in various matters to the research work of Kostia Beidar†, a distinguished ring theorist and professor of National Ching Kung University (NCKU). Written by leading experts in these areas, the papers also emphasize important applications to other fields of mathematics. Most papers are based on talks that were presented at the memorial conference which was held in March 2005 at NCKU.
