Contemporary Ring Theory 2011

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Contemporary Ring Theory 2011

Jin Yong Kim,Chan Huh,Yang Lee,Tai Keun Kwak
Contemporary Ring Theory 2011 Book PDF

Author : Jin Yong Kim,Chan Huh,Yang Lee,Tai Keun Kwak
Publisher : World Scientific
Page : 260 pages
File Size : 41,7 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9789814397698

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Contemporary Ring Theory 2011 by Jin Yong Kim,Chan Huh,Yang Lee,Tai Keun Kwak Pdf

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 Köthe'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 China–Japan–Korea 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. Contents:Rings Over Which Polynomial Rings are NI (Juncheol Han, Yang Lee and Sung Pil Yang)The Galois Map and Its Induced Maps (George Szeto and Lianyong Xue)Notes on Weakly d-Koszul Modules (Jiafeng Lü and Xiaolan Yu)An Extension of Rings and Hochschild 2-Cocycles (M Tamer Koşan, Tsiu-Kwen Lee and Yiqiang Zhou)When Do the Direct Sums of Modules Inherit Certain Properties? (Gangyong Lee, S Tariq Rizvi and Cosmin Roman)Notes on Simple-Baer Modules and Rings (Lixin Mao)A Note on Quasi-Johns Rings (Liang Shen)Von Neumann Regular Rings Satisfying Generalized Almost Comparability (Mamoru Kutami)A New Pseudorandom Number Generator AST (Huiling Song)A Note on Prime Rings with Left Derivations (Nadeem ur Rehman)On Rings in Which Every Ideal is Prime (Hisaya Tsutsui)Some Commutativity Theorems Concerning Additive Mappings and Derivations on Semiprime Rings (Shakir Ali, Basudeb Dhara and Ajda Fošner)Study on the Algebraic Structures in Terms of Geometry and Deformation Theory (Fumiya Suenobu and Fujio Kubo)On the Faith Conjecture (Kiyoichi Oshiro)A Short Proof that Continuous Modules are Clean (V P Camillo, D Khurana, T Y Lam, W K Nicholson and Y Zhou)Structures on S.G. Near-Rings and -Groups (Yong Uk Cho)Imprimitive Regular Action in the Ring of Integers Modulo n (Juncheol Han, Yang Lee and Sangwon Park)On Symmetric Biderivations of Semiprime Rings (Asma Ali and Faiza Shujat)τ-Projective and Strongly τ-Projective Modules (Ismail Amin, Yasser Ibrahim and Mohamed Yousif) Readership: Graduate students and researchers in ring theory and its applications in mathematics, physics and computer science. Keywords:Ring Theory;Module Theory

Contemporary Ring Theory 2011

Jin Yong Kim
Contemporary Ring Theory 2011 Book PDF

Author : Jin Yong Kim
Publisher : World Scientific
Page : 258 pages
File Size : 54,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814397681

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Contemporary Ring Theory 2011 by Jin Yong Kim Pdf

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.

Ring Theory and Its Applications

Dinh Van Huynh, S. K. Jain, Sergio R. López-Permouth,S. Tariq Rizvi,Cosmin S. Roman
Ring Theory and Its Applications Book PDF

Author : Dinh Van Huynh, S. K. Jain, Sergio R. López-Permouth,S. Tariq Rizvi,Cosmin S. Roman
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 52,7 Mb
Release : 2014-02-21
Category : Mathematics
ISBN : 9780821887974

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Ring Theory and Its Applications by Dinh Van Huynh, S. K. Jain, Sergio R. López-Permouth,S. Tariq Rizvi,Cosmin S. Roman Pdf

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

Huanyin Chen,Marjan Sheibani Abdolyousefi
Theory Of Clean Rings And Matrices Book PDF

Author : Huanyin Chen,Marjan Sheibani Abdolyousefi
Publisher : World Scientific
Page : 693 pages
File Size : 46,6 Mb
Release : 2022-08-30
Category : Mathematics
ISBN : 9789811260148

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Theory Of Clean Rings And Matrices by Huanyin Chen,Marjan Sheibani Abdolyousefi Pdf

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.

Noncommutative Rings and Their Applications

Steven Dougherty,Alberto Facchini,Andre Gerard Leroy,Edmund Puczylowski,Patrick Sole
Noncommutative Rings and Their Applications Book PDF

Author : Steven Dougherty,Alberto Facchini,Andre Gerard Leroy,Edmund Puczylowski,Patrick Sole
Publisher : American Mathematical Soc.
Page : 280 pages
File Size : 53,8 Mb
Release : 2015-02-20
Category : Mathematics
ISBN : 9781470410322

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Noncommutative Rings and Their Applications by Steven Dougherty,Alberto Facchini,Andre Gerard Leroy,Edmund Puczylowski,Patrick Sole Pdf

Contains the Proceedings of an International Conference on Noncommutative Rings and Their Applications, held July 1-4, 2013, at the Universite d'Artois, Lens, France. It presents recent developments in the theories of noncommutative rings and modules over such rings as well as applications of these to coding theory, enveloping algebras, and Leavitt path algebras.

Grobner Bases in Ring Theory

Huishi Li
Grobner Bases in Ring Theory Book PDF

Author : Huishi Li
Publisher : World Scientific
Page : 295 pages
File Size : 55,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814365147

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Grobner Bases in Ring Theory by Huishi Li Pdf

1. Preliminaries. 1.1. Presenting algebras by relations. 1.2. S-graded algebras and modules. 1.3. [symbol]-filtered algebras and modules -- 2. The [symbol]-leading homogeneous algebra A[symbol]. 2.1. Recognizing A via G[symbol](A): part 1. 2.2. Recognizing A via G[symbol](A): part 2. 2.3. The [symbol-graded isomorphism A[symbol](A). 2.4. Recognizing A via A[symbol] -- 3. Grobner bases: conception and construction. 3.1. Monomial ordering and admissible system. 3.2. Division algorithm and Grobner basis. 3.3. Grobner bases and normal elements. 3.4. Grobner bases w.r.t. skew multiplicative K-bases. 3.5. Grobner bases in K[symbol] and KQ. 3.6. (De)homogenized Grobner bases. 3.7. dh-closed homogeneous Grobner bases -- 4. Grobner basis theory meets PBW theory. 4.1. [symbol]-standard basis [symbol]-PBW isomorphism. 4.2. Realizing [symbol]-PBW isomorphism by Grobner basis. 4.3. Classical PBW K-bases vs Grobner bases. 4.4. Solvable polynomial algebras revisited -- 5. Using A[symbol] in terms of Grobner bases. 5.1. The working strategy. 5.2. Ufnarovski graph. 5.3. Determination of Gelfand-Kirillov Dimension. 5.4. Recognizing Noetherianity. 5.5. Recognizing (semi- )primeness and PI-property. 5.6. Anick's resolution over monomial algebras. 5.7. Recognizing finiteness of global dimension. 5.8. Determination of Hilbert series -- 6. Recognizing (non- )homogeneous p-Koszulity via A[symbol]. 6.1. (Non- )homogeneous p-Koszul algebras. 6.2. Anick's resolution and homogeneous p-Koszulity. 6.3. Working in terms of Grobner bases -- 7. A study of Rees algebra by Grobner bases. 7.1. Defining [symbol] by [symbol]. 7.2. Defining [symbol] by [symbol]. 7.3. Recognizing structural properties of [symbol] via [symbol]. 7.4. An application to regular central extensions. 7.5. Algebras defined by dh-closed homogeneous Grobner bases -- 8. Looking for more Grobner bases. 8.1. Lifting (finite) Grobner bases from O[symbol]. 8.2. Lifting (finite) Grobner bases from a class of algebras. 8.3. New examples of Grobner basis theory. 8.4. Skew 2-nomial algebras. 8.5. Almost skew 2-nomial algebras

Rings and Categories of Modules

Frank W. Anderson,Kent R. Fuller
Rings and Categories of Modules Book PDF

Author : Frank W. Anderson,Kent R. Fuller
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461244189

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Rings and Categories of Modules by Frank W. Anderson,Kent R. Fuller Pdf

This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical foundations, the text begins with the basic definitions and properties of rings, modules and homomorphisms and ranges through comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, de composition theory of injective and projective modules, and semi perfect and perfect rings. In this second edition we have included a chapter containing many of the classical results on artinian rings that have hdped to form the foundation for much of the contemporary research on the representation theory of artinian rings and finite dimensional algebras. Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty. There are, of course" many important areas of ring and module theory that the text does not touch upon.

Methods in Ring Theory

Vesselin Drensky
Methods in Ring Theory Book PDF

Author : Vesselin Drensky
Publisher : CRC Press
Page : 328 pages
File Size : 43,8 Mb
Release : 2021-02-28
Category : Mathematics
ISBN : 9781000657357

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Methods in Ring Theory by Vesselin Drensky Pdf

"Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."

Methods in Ring Theory

Vesselin Drensky,Antonio Giambruno,Sudarshan K. Sehgal
Methods in Ring Theory Book PDF

Author : Vesselin Drensky,Antonio Giambruno,Sudarshan K. Sehgal
Publisher : CRC Press
Page : 332 pages
File Size : 42,7 Mb
Release : 1998-03-27
Category : Mathematics
ISBN : 0824701836

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Methods in Ring Theory by Vesselin Drensky,Antonio Giambruno,Sudarshan K. Sehgal Pdf

"Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."

The Oxford Handbook of the Archaeology of the Contemporary World

Paul Graves-Brown,Rodney Harrison,Angela Piccini
The Oxford Handbook of the Archaeology of the Contemporary World Book PDF

Author : Paul Graves-Brown,Rodney Harrison,Angela Piccini
Publisher : Oxford University Press
Page : 852 pages
File Size : 42,7 Mb
Release : 2013-10
Category : Art
ISBN : 9780199602001

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The Oxford Handbook of the Archaeology of the Contemporary World by Paul Graves-Brown,Rodney Harrison,Angela Piccini Pdf

This Handbook is the first comprehensive survey of a rapidly expanding sub-field in archaeology, the study of the present and recent past. It seeks to explore the boundaries of this emerging area, to develop a tool-kit of concepts and methods, which are applicable to this new sub-field, and to suggest important future trajectories for research.

Contemporary Tourist Experience

Richard Sharpley,Philip Stone
Contemporary Tourist Experience Book PDF

Author : Richard Sharpley,Philip Stone
Publisher : Routledge
Page : 326 pages
File Size : 50,6 Mb
Release : 2014-06-23
Category : Business & Economics
ISBN : 9781317605508

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Contemporary Tourist Experience by Richard Sharpley,Philip Stone Pdf

This significant and timely volume aims to provide a focused analysis into tourist experiences that reflect their ever-increasing diversity and complexity, and their significance and meaning to tourists themselves. Written by leading international scholars, it offers new insight into emergent behaviours, motivations and sought meanings on the part of tourists based on five contemporary themes determined by current research activity in tourism experience:conceptualization of tourist experience; dark tourism experiences; the relationship between motivation and the contemporary tourist experience; the manner in which tourist experience can be influenced and enhanced by place; and how managers and suppliers can make a significant contribution to the tourist experience. The book critically explores these experiences from multidisciplinary perspectives and includes case studies from wide range of geographical regions. By analyzing these contemporary tourist experiences, the book will provide further understanding of the consumption of tourism.

Contemporary Jewish Writing

Andrea Reiter
Contemporary Jewish Writing Book PDF

Author : Andrea Reiter
Publisher : Routledge
Page : 256 pages
File Size : 54,8 Mb
Release : 2013-11-12
Category : Religion
ISBN : 9781135114732

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Contemporary Jewish Writing by Andrea Reiter Pdf

This book examines Jewish writers and intellectuals in Austria, analyzing filmic and electronic media alongside more traditional publication formats over the last 25 years. Beginning with the Waldheim affair and the rhetorical response by the three most prominent members of the survivor generation (Leon Zelman, Simon Wiesenthal and Bruno Kreisky) author Andrea Reiter sets a complicated standard for ‘who is Jewish’ and what constitutes a ‘Jewish response.’ She reformulates the concepts of religious and secular Jewish cultural expression, cutting across gender and Holocaust studies. The work proceeds to questions of enacting or performing identity, especially Jewish identity in the Austrian setting, looking at how these Jewish writers and filmmakers in Austria ‘perform’ their Jewishness not only in their public appearances and engagements but also in their works. By engaging with novels, poems, and films, this volume challenges the dominant claim that Jewish culture in Central Europe is almost exclusively borne by non-Jews and consumed by non-Jewish audiences, establishing a new counter-discourse against resurging anti-Semitism in the media.

Oral and Literary Continuities in Modern Tibetan Literature

Lama Jabb
Oral and Literary Continuities in Modern Tibetan Literature Book PDF

Author : Lama Jabb
Publisher : Lexington Books
Page : 306 pages
File Size : 42,6 Mb
Release : 2015-06-10
Category : Literary Criticism
ISBN : 9781498503341

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Oral and Literary Continuities in Modern Tibetan Literature by Lama Jabb Pdf

This book reveals that the roots of modern Tibetan literature grow in the rich and fertile soil of Tibet’s oral and literary traditions, rather than in the 1980s as current scholarship presents.

Ring Theory, 83

Louis H. Rowen
Ring Theory 83 Book PDF

Author : Louis H. Rowen
Publisher : Academic Press
Page : 653 pages
File Size : 45,7 Mb
Release : 2012-12-02
Category : Mathematics
ISBN : 9780080925486

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Ring Theory, 83 by Louis H. Rowen Pdf

This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs....They, as well as students, will be well served by the many examples of rings and the glossary of major results."**--NOTICES OF THE AMS

Ring Constructions and Applications

Andrei V. Kelarev
Ring Constructions and Applications Book PDF

Author : Andrei V. Kelarev
Publisher : World Scientific
Page : 218 pages
File Size : 55,7 Mb
Release : 2002
Category : Mathematics
ISBN : 9789810247454

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Ring Constructions and Applications by Andrei V. Kelarev Pdf

This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs.