Download or read book The Theory of Near Rings written by Robert Lockhart and published by Springer Nature. This book was released on 2021-11-14 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Near rings The Theory and its Applications written by and published by Elsevier. This book was released on 2011-10-10 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Near-rings: The Theory and its Applications
Download or read book Near Rings and Near Fields written by G. Betsch and published by Elsevier. This book was released on 2011-09-22 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Near rings and Their Links with Groups written by J. D. P. Meldrum and published by Pitman Advanced Publishing Program. This book was released on 1985 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Near Rings Fuzzy Ideals and Graph Theory written by Bhavanari Satyanarayana and published by CRC Press. This book was released on 2013-05-21 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Theory of Near Rings written by Robert Lockhart and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On the Theory of Near Rings written by Ahmed Yunis Abdelwanis and published by LAP Lambert Academic Publishing. This book was released on 2012-08 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Near- rings and near -ring modules are the natural non-linear generalization of rings and ring modules. The first occurrence of near-rings was in 1905 when Dickson introduced near fields. Near -rings are very closely related to the theory of varieties of groups, and have applications in non-abelian homological algebra. The group -theoretic connection first appeared in work by H.Neumann 1954-1956. The theory of d.g near rings received a big boost when A.Frohlich published a series of papers in the period 1958-1962. In this book In this we study some topics from near-ring theory. This book contains five chapters. Chapter zero is an introduction.In chapter one we discuss some problems in matrix near rings.In chapter two we introduce the concept of M-cleavable near rings. chapter three is unit regular near rings. The last chapter is on semi ideals of near rings.
Download or read book Near Rings and Near Fields written by Howard E Bell and published by . This book was released on 1995-07-31 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Smarandache Near Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2002 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book An Introduction to the Theory of Near rings written by Sandra Lee Goldsmith and published by . This book was released on 1968 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Near rings written by Günter Pilz and published by North Holland. This book was released on 1983 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Near rings written by Günter Pilz and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nearrings Nearfields And Related Topics written by Kuncham Syam Prasad and published by World Scientific. This book was released on 2016-11-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book The Theory of Rings written by Nathan Jacobson and published by American Mathematical Soc.. This book was released on 1943-12-31 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.
Download or read book Rings and Their Modules written by Paul E. Bland and published by Walter de Gruyter. This book was released on 2011 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. In addition to the presentation of standard topics in ring and module theory, it also covers category theory, homological algebra and even more specialized topics like injective envelopes and proj
Download or read book Near Rings and Near Fields written by Yuen Fong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On the Radical Theory of Near Rings written by John F. T. Hartney and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
