Ring Theory 2007

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Publisher : World Scientific
ISBN 13 : 9812818332
Total Pages : 314 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Ring Theory 2007 by : Hidetoshi Marubayashi

Download or read book Ring Theory 2007 written by Hidetoshi Marubayashi and published by World Scientific. This book was released on 2009 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of survey articles by invited speakers and original articles refereed by world experts that was presented at the fifth ChinaOCoJapanOCoKorea International Symposium. The survey articles provide some ideas of the application as well as an excellent overview of the various areas in ring theory. The original articles exhibit new ideas, tools and techniques needed for successful research investigation in ring theory and show the trend of current research."

Ring Theory and Its Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821887971
Total Pages : 311 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ring Theory and Its Applications by : Dinh Van Huynh

Download or read book Ring Theory and Its Applications written by Dinh Van Huynh and published by American Mathematical Soc.. This book was released on 2014-02-21 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory Of Clean Rings And Matrices

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Publisher : World Scientific
ISBN 13 : 9811260141
Total Pages : 693 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Theory Of Clean Rings And Matrices by : Huanyin Chen

Download or read book Theory Of Clean Rings And Matrices written by Huanyin Chen and published by World Scientific. This book was released on 2022-08-30 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph devoted to clean ring and matrix theory. It aims to study a theory of expressing an element in a ring as the sum of some special ones, such as idempotents, units, nilpotents, tripotents, involutions, etc. A matrix over such rings is thereby expressed as the sum of some special matrices. Also another topics on the behaviors of topological properties and *-properties of such rings are investigated.The book is based on the results of various published papers, particularly, by the authors'. It is accessible for students familiar with general abstract algebra, while the topics are interesting for researchers in the field of ring, matrix and operator theory.

Ring Theory

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (658 download)

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Book Synopsis Ring Theory by :

Download or read book Ring Theory written by and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Leavitt Path Algebras

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Publisher : Springer
ISBN 13 : 1447173449
Total Pages : 289 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Leavitt Path Algebras by : Gene Abrams

Download or read book Leavitt Path Algebras written by Gene Abrams and published by Springer. This book was released on 2017-11-30 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.

Ring Theory

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Publisher : Academic Press
ISBN 13 : 9780080873572
Total Pages : 319 pages
Book Rating : 4.8/5 (735 download)

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Book Synopsis Ring Theory by :

Download or read book Ring Theory written by and published by Academic Press. This book was released on 1972-04-18 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ring Theory

Topics in Commutative Ring Theory

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Publisher : Princeton University Press
ISBN 13 : 1400828171
Total Pages : 228 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Topics in Commutative Ring Theory by : John J. Watkins

Download or read book Topics in Commutative Ring Theory written by John J. Watkins and published by Princeton University Press. This book was released on 2009-02-09 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra. Commutative ring theory arose more than a century ago to address questions in geometry and number theory. A commutative ring is a set-such as the integers, complex numbers, or polynomials with real coefficients--with two operations, addition and multiplication. Starting from this simple definition, John Watkins guides readers from basic concepts to Noetherian rings-one of the most important classes of commutative rings--and beyond to the frontiers of current research in the field. Each chapter includes problems that encourage active reading--routine exercises as well as problems that build technical skills and reinforce new concepts. The final chapter is devoted to new computational techniques now available through computers. Careful to avoid intimidating theorems and proofs whenever possible, Watkins emphasizes the historical roots of the subject, like the role of commutative rings in Fermat's last theorem. He leads readers into unexpected territory with discussions on rings of continuous functions and the set-theoretic foundations of mathematics. Written by an award-winning teacher, this is the first introductory textbook to require no prior knowledge of ring theory to get started. Refreshingly informal without ever sacrificing mathematical rigor, Topics in Commutative Ring Theory is an ideal resource for anyone seeking entry into this stimulating field of study.

Ring Theory

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (729 download)

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Book Synopsis Ring Theory by : Bernard R. McDonald

Download or read book Ring Theory written by Bernard R. McDonald and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contributions in Algebra and Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 1470447355
Total Pages : 147 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Contributions in Algebra and Algebraic Geometry by : Shrikrishna G. Dani

Download or read book Contributions in Algebra and Algebraic Geometry written by Shrikrishna G. Dani and published by American Mathematical Soc.. This book was released on 2019-10-07 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9–11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modules, representations of linear, symmetric groups and Lie algebras, the algebra of generic matrices and almost injective modules.

Ring Theory

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Publisher : Academic Press
ISBN 13 : 9780080874463
Total Pages : 537 pages
Book Rating : 4.8/5 (744 download)

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Book Synopsis Ring Theory by :

Download or read book Ring Theory written by and published by Academic Press. This book was released on 1988-06-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ring Theory V1

Rings, Modules and Representations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821843702
Total Pages : 377 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Rings, Modules and Representations by : International Conference on Rings and Things

Download or read book Rings, Modules and Representations written by International Conference on Rings and Things and published by American Mathematical Soc.. This book was released on 2009 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume contain results in active research areas in the theory of rings and modules, including non commutative and commutative ring theory, module theory, representation theory, and coding theory.

Handbook of Algebra

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Publisher : Elsevier
ISBN 13 : 9780080932811
Total Pages : 592 pages
Book Rating : 4.9/5 (328 download)

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Book Synopsis Handbook of Algebra by : M. Hazewinkel

Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2009-07-08 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

The Theory of Rings

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Publisher : American Mathematical Soc.
ISBN 13 : 0821815024
Total Pages : 150 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Theory of Rings by : Nathan Jacobson

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 150 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.

Advances in Ring Theory

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Publisher : World Scientific
ISBN 13 : 9814479705
Total Pages : 336 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Advances in Ring Theory by : J L Chen

Download or read book Advances in Ring Theory written by J L Chen and published by World Scientific. This book was released on 2005-08-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory. The review articles, written by specialists, provide an excellent overview of the various areas of ring and module theory — ideal for researchers looking for a new or related field of study. Also included are original articles showing the trend of current research. Contents:Constructing Morphic Rings (J-L Chen et al.)Rings Whose Simple Modules Have Some Properties (Y Hirano)On a Left H-Ring with Nakayama Automorphism (J Kado)On Lifting Properties of Modules (Y Kuratomi)A Survey of Morphic Modules and Rings (W K Nicholson)Flat Cover and Cotorsion Envelope Commute (P Rothmaler)From Galois Field Extensions to Galois Comodules (R Wisbauer)Galois Coverings of Selfinjective Algebras by Twisted Repetitive Algebras (K Yamagata)and other papers Readership: Algebraists in particular non-commutative ring theorists. Keywords:Perspective Survey;Diversified;Distinctive (Articles);Current Field;Distinguished Invited Speakers

Advances in Ring Theory and Applications

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Publisher : Springer Nature
ISBN 13 : 3031507959
Total Pages : 396 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Advances in Ring Theory and Applications by : Shakir Ali

Download or read book Advances in Ring Theory and Applications written by Shakir Ali and published by Springer Nature. This book was released on with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contemporary Ring Theory 2011

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Publisher : World Scientific
ISBN 13 : 9814397687
Total Pages : 258 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Contemporary Ring Theory 2011 by : Jin Yong Kim

Download or read book Contemporary Ring Theory 2011 written by Jin Yong Kim and published by World Scientific. This book was released on 2012 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the KAthe''s conjecture; the study of nil rings and Jacobson rings; the study of applying ring-theoretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences. This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth ChinaOCoJapanOCoKorea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory.

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

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Publisher : Springer
ISBN 13 : 3319615998
Total Pages : 242 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups by : Friedrich Wehrung

Download or read book Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups written by Friedrich Wehrung and published by Springer. This book was released on 2017-09-09 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, called the type monoid. The new techniques contrast with the currently available topological approaches. Many positive results, but also many counterexamples, are provided.