The Theory Of Near Rings

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The Theory of Near-Rings

Author : Robert Lockhart
Publisher : Springer Nature
ISBN 13 : 3030817555
Total Pages : 555 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis The Theory of Near-Rings by : Robert Lockhart

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.

Near-rings: The Theory and its Applications

Author :
Publisher : Elsevier
ISBN 13 : 9780080871349
Total Pages : 469 pages
Book Rating : 4.8/5 (713 download)

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Book Synopsis Near-rings: The Theory and its Applications by :

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 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Near-rings: The Theory and its Applications

Near Rings, Fuzzy Ideals, and Graph Theory

Author : Bhavanari Satyanarayana
Publisher : CRC Press
ISBN 13 : 1439873100
Total Pages : 482 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Near Rings, Fuzzy Ideals, and Graph Theory by : Bhavanari Satyanarayana

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.

Smarandache Near-Rings

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1931233667
Total Pages : 201 pages
Book Rating : 4.9/5 (312 download)

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Book Synopsis Smarandache Near-Rings by : W. B. Vasantha Kandasamy

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).

Near-rings and Their Links with Groups

Author : J. D. P. Meldrum
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Near-rings and Their Links with Groups by : J. D. P. Meldrum

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:

The Theory of Near-Rings

Author : Robert Lockhart
Publisher :
ISBN 13 : 9783030817565
Total Pages : 0 pages
Book Rating : 4.8/5 (175 download)

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Book Synopsis The Theory of Near-Rings by : Robert Lockhart

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.

Near-Rings and Near-Fields

Author : G. Betsch
Publisher : Elsevier
ISBN 13 : 9780080872483
Total Pages : 297 pages
Book Rating : 4.8/5 (724 download)

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Book Synopsis Near-Rings and Near-Fields by : G. Betsch

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 297 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.

Nearrings, Nearfields And Related Topics

Author : Panackal Harikrishnan
Publisher : World Scientific
ISBN 13 : 981320737X
Total Pages : 324 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Nearrings, Nearfields And Related Topics by : Panackal Harikrishnan

Download or read book Nearrings, Nearfields And Related Topics written by Panackal Harikrishnan 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

Radical Theory of Rings

Author : J.W. Gardner
Publisher : CRC Press
ISBN 13 : 9780203913352
Total Pages : 412 pages
Book Rating : 4.9/5 (133 download)

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Book Synopsis Radical Theory of Rings by : J.W. Gardner

Download or read book Radical Theory of Rings written by J.W. Gardner and published by CRC Press. This book was released on 2003-11-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.

Rings and Radicals

Author : R. Wiegandt
Publisher : CRC Press
ISBN 13 : 9780582292819
Total Pages : 276 pages
Book Rating : 4.2/5 (928 download)

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Book Synopsis Rings and Radicals by : R. Wiegandt

Download or read book Rings and Radicals written by R. Wiegandt and published by CRC Press. This book was released on 1996-04-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.

Near-Rings and Near-Fields

Author : Howard E Bell
Publisher :
ISBN 13 : 9789401103602
Total Pages : 292 pages
Book Rating : 4.1/5 (36 download)

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Book Synopsis Near-Rings and Near-Fields by : Howard E Bell

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:

Near-Rings and Near-Fields

Author : Yuen Fong
Publisher : Springer Science & Business Media
ISBN 13 : 9401103593
Total Pages : 271 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Near-Rings and Near-Fields by : Yuen Fong

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.

Near-rings

Author : Günter Pilz
Publisher : North Holland
ISBN 13 : 9780444867506
Total Pages : 470 pages
Book Rating : 4.8/5 (675 download)

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Book Synopsis Near-rings by : Günter Pilz

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:

Rings and Their Modules

Author : Paul E. Bland
Publisher : Walter de Gruyter
ISBN 13 : 3110250225
Total Pages : 467 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Rings and Their Modules by : Paul E. Bland

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

Integral Closure of Ideals, Rings, and Modules

Author : Craig Huneke
Publisher : Cambridge University Press
ISBN 13 : 0521688604
Total Pages : 446 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Integral Closure of Ideals, Rings, and Modules by : Craig Huneke

Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.

Learning Modern Algebra

Author : Albert Cuoco
Publisher : MAA
ISBN 13 : 1939512018
Total Pages : 481 pages
Book Rating : 4.9/5 (395 download)

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Book Synopsis Learning Modern Algebra by : Albert Cuoco

Download or read book Learning Modern Algebra written by Albert Cuoco and published by MAA. This book was released on 2013 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics.

Nearrings

Author : G. Ferrero
Publisher : Springer Science & Business Media
ISBN 13 : 1461302676
Total Pages : 623 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Nearrings by : G. Ferrero

Download or read book Nearrings written by G. Ferrero and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents new and old constructions of nearrings. Links between properties of the multiplicative of nearrings (as regularity conditions and identities) and the structure of nearrings are studied. Primality and minimality properties of ideals are collected. Some types of `simpler' nearrings are examined. Some nearrings of maps on a group are reviewed and linked with group-theoretical and geometrical questions. Audience: Researchers working in nearring theory, group theory, semigroup theory, designs, and translation planes. Some of the material will be accessible to graduate students.