Near-rings: The Theory and its Applications
Author:
Publisher: Elsevier
Published: 2011-10-10
Total Pages: 469
ISBN-13: 9780080871349
DOWNLOAD EBOOK →Near-rings: The Theory and its Applications
Lanterna Rally
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Near-rings
Author: Günter Pilz
Publisher: North Holland
Published: 1983
Total Pages: 470
ISBN-13: 9780444867506
DOWNLOAD EBOOK →Near Rings, Fuzzy Ideals, and Graph Theory
Author: Bhavanari Satyanarayana
Publisher: CRC Press
Published: 2013-05-21
Total Pages: 482
ISBN-13: 1439873100
DOWNLOAD EBOOK →Near 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.
Ring Theory and Its Applications
Author: Dinh Van Huynh
Publisher: American Mathematical Soc.
Published: 2014-02-21
Total Pages: 330
ISBN-13: 0821887971
DOWNLOAD EBOOK →This 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.
Near Rings, Fuzzy Ideals, and Graph Theory
Author: Bhavanari Satyanarayana
Publisher: CRC Press
Published: 2013-05-21
Total Pages: 480
ISBN-13: 1439873119
DOWNLOAD EBOOK →Near 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 and Near-Fields
Author: G. Betsch
Publisher: Elsevier
Published: 2011-09-22
Total Pages: 297
ISBN-13: 9780080872483
DOWNLOAD EBOOK →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.
The Theory of Near-Rings
Author: Robert Lockhart
Publisher: Springer Nature
Published: 2021-11-14
Total Pages: 555
ISBN-13: 3030817555
DOWNLOAD EBOOK →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.
Rings and Nearrings
Author: Mikhail Chebotar
Publisher: Walter de Gruyter
Published: 2011-12-22
Total Pages: 177
ISBN-13: 3110912163
DOWNLOAD EBOOK →This 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.
Algebra and Related Topics with Applications
Author: Mohammad Ashraf
Publisher: Springer Nature
Published: 2022-11-30
Total Pages: 492
ISBN-13: 9811938989
DOWNLOAD EBOOK →This proceedings is a collection of research papers on algebra and related topics, most of which were presented at the International Conference on Algebra and Related Topics with Applications (ICARTA-19), held at the Department of Mathematics, Aligarh Muslim University, Aligarh, India, from 17–19 December 2019. It covers a wide range of topics on ring theory, coding theory, cryptography, and graph theory. In addition to highlighting the latest research being done in algebra, the book also addresses the abundant topics of algebra particularly semigroups, groups, derivations in rings, rings and modules, group rings, matrix algebra, triangular algebra, polynomial rings and lattice theory. Apart from these topics, the book also discusses applications in cryptology, coding theory, and graph theory.
Discrete Mathematics and Symmetry
Author: Angel Garrido
Publisher: MDPI
Published: 2020-03-05
Total Pages: 458
ISBN-13: 3039281909
DOWNLOAD EBOOK →Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of all graphs into equivalence classes. The underlying idea of isomorphism is that some objects have the same structure if we omit the individual character of their components. A set of graphs isomorphic to each other is denominated as an isomorphism class of graphs. The automorphism of a graph will be an isomorphism from G onto itself. The family of all automorphisms of a graph G is a permutation group.
