Near-Rings and Near-Fields

Near-Rings and Near-Fields

Author: G. Betsch

Publisher: Elsevier

Published: 2011-09-22

Total Pages: 297

ISBN-13: 9780080872483

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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.


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.


Near Rings, Near Fields, and Related Topics

Near Rings, Near Fields, and Related Topics

Author: Kuncham Syam Prasad

Publisher:

Published: 2016

Total Pages: 324

ISBN-13: 9789813207363

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"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.


Book Synopsis Near Rings, Near Fields, and Related Topics by : Kuncham Syam Prasad

Download or read book Near Rings, Near Fields, and Related Topics written by Kuncham Syam Prasad and published by . This book was released on 2016 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 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.


Nearrings, Nearfields And Related Topics

Nearrings, Nearfields And Related Topics

Author: Kuncham Syam Prasad

Publisher: World Scientific

Published: 2016-11-28

Total Pages: 324

ISBN-13: 981320737X

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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


Book Synopsis Nearrings, Nearfields And Related Topics by : Kuncham Syam Prasad

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


Near-rings: The Theory and its Applications

Near-rings: The Theory and its Applications

Author:

Publisher: Elsevier

Published: 2011-10-10

Total Pages: 469

ISBN-13: 9780080871349

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Near-rings: The Theory and its Applications


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


Algebra and Related Topics with Applications

Algebra and Related Topics with Applications

Author: Mohammad Ashraf

Publisher: Springer Nature

Published: 2022-11-30

Total Pages: 492

ISBN-13: 9811938989

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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.


Book Synopsis Algebra and Related Topics with Applications by : Mohammad Ashraf

Download or read book Algebra and Related Topics with Applications written by Mohammad Ashraf and published by Springer Nature. This book was released on 2022-11-30 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Theory of Near-Rings

The Theory of Near-Rings

Author: Robert Lockhart

Publisher: Springer Nature

Published: 2021-11-14

Total Pages: 555

ISBN-13: 3030817555

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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.


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 and Near-Fields

Near-Rings and Near-Fields

Author: Yuen Fong

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 271

ISBN-13: 9401103593

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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.


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.


Nearrings and Nearfields

Nearrings and Nearfields

Author: Hubert Kiechle

Publisher: Springer Science & Business Media

Published: 2005-12-05

Total Pages: 324

ISBN-13: 1402033915

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This present volume is the Proceedings of the 18th International C- ference on Nearrings and Near?elds held in Hamburg at the Universit ̈ at derBundeswehrHamburgfromJuly27toAugust03,2003. ThisConf- ence was organized by Momme Johs Thomsen and Gerhard Saad from the Universit ̈ at der Bundeswehr Hamburg and by Alexander Kreuzer, Hubert Kiechle and Wen-Ling Huang from the Universit ̈ a ̈t Hamburg. It was already the second Conference on Nearrings and Near?elds in Hamburg after the Conference on Nearrings and Near?elds at the same venue from July 30 to August 06, 1995. TheConferencewasattendedby57mathematiciansandmanyacc- panying persons who represented 16 countries from all ?ve continents. The ?rst of these conferences took place 35 years earlier in 1968 at the Mathematische Forschungsinstitut Oberwolfach in the Black Forest inGermany. Thiswasalsothesiteofthesecond,third,?fthandeleventh conference in 1972, 1976, 1980 and 1989. The other twelve conferences held before the second Hamburg Conference took place in nine di?erent countries. For details about this and, moreover, for a general histo- cal overview of the development of the subject we refer to the article ”On the beginnings and developments of near-ring theory” by Gerhard Betsch [3] in the proceedings of the 13th Conference in Fredericton, New Brunswick,Canada. Duringthelast?ftyyearsthetheoryofnearringsandrelatedalgebraic structures like near?elds, nearmodules, nearalgebras and seminearrings has developed into an extensive branch of algebra with its own features.


Book Synopsis Nearrings and Nearfields by : Hubert Kiechle

Download or read book Nearrings and Nearfields written by Hubert Kiechle and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This present volume is the Proceedings of the 18th International C- ference on Nearrings and Near?elds held in Hamburg at the Universit ̈ at derBundeswehrHamburgfromJuly27toAugust03,2003. ThisConf- ence was organized by Momme Johs Thomsen and Gerhard Saad from the Universit ̈ at der Bundeswehr Hamburg and by Alexander Kreuzer, Hubert Kiechle and Wen-Ling Huang from the Universit ̈ a ̈t Hamburg. It was already the second Conference on Nearrings and Near?elds in Hamburg after the Conference on Nearrings and Near?elds at the same venue from July 30 to August 06, 1995. TheConferencewasattendedby57mathematiciansandmanyacc- panying persons who represented 16 countries from all ?ve continents. The ?rst of these conferences took place 35 years earlier in 1968 at the Mathematische Forschungsinstitut Oberwolfach in the Black Forest inGermany. Thiswasalsothesiteofthesecond,third,?fthandeleventh conference in 1972, 1976, 1980 and 1989. The other twelve conferences held before the second Hamburg Conference took place in nine di?erent countries. For details about this and, moreover, for a general histo- cal overview of the development of the subject we refer to the article ”On the beginnings and developments of near-ring theory” by Gerhard Betsch [3] in the proceedings of the 13th Conference in Fredericton, New Brunswick,Canada. Duringthelast?ftyyearsthetheoryofnearringsandrelatedalgebraic structures like near?elds, nearmodules, nearalgebras and seminearrings has developed into an extensive branch of algebra with its own features.


Rings, Groups, and Algebras

Rings, Groups, and Algebras

Author: X. H. Cao

Publisher: CRC Press

Published: 2020-12-22

Total Pages: 352

ISBN-13: 1000153347

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"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."


Book Synopsis Rings, Groups, and Algebras by : X. H. Cao

Download or read book Rings, Groups, and Algebras written by X. H. Cao and published by CRC Press. This book was released on 2020-12-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."


On the Theory of Near Rings

On the Theory of Near Rings

Author: Ahmed Yunis Abdelwanis

Publisher: LAP Lambert Academic Publishing

Published: 2012-08

Total Pages: 60

ISBN-13: 9783659220135

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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.


Book Synopsis On the Theory of Near Rings by : Ahmed Yunis Abdelwanis

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.