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Contemporary Ring Theory 2011
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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 2012-04-26 with total page 260 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 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
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.
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 330 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.
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.
Book Synopsis Grobner Bases in Ring Theory by : Huishi Li
Download or read book Grobner Bases in Ring Theory written by Huishi Li and published by World Scientific. This book was released on 2012 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Oxford Handbook of the Archaeology of the Contemporary World by : Paul Graves-Brown
Download or read book The Oxford Handbook of the Archaeology of the Contemporary World written by Paul Graves-Brown and published by Oxford University Press. This book was released on 2013-10 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Contemporary Tourist Experience by : Richard Sharpley
Download or read book Contemporary Tourist Experience written by Richard Sharpley and published by Routledge. This book was released on 2014-06-23 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Contemporary Jewish Writing by : Andrea Reiter
Download or read book Contemporary Jewish Writing written by Andrea Reiter and published by Routledge. This book was released on 2013-11-12 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Ring Theory - Proceedings Of The Biennial Ohio State-denison Conference 1992 by : Surender K Jain
Download or read book Ring Theory - Proceedings Of The Biennial Ohio State-denison Conference 1992 written by Surender K Jain and published by World Scientific. This book was released on 1993-09-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of invited papers on the theory of rings and modules, most of which were presented at the biennial Ohio State — Denison Conference, May 1992, in memory of Hans Zassenhaus. The topics of these papers represent many modern trends in Ring Theory. The wide variety of methodologies and techniques demonstrated will be valuable in particular to young researchers in the area. Covering a broad range, this book should appeal to a wide spectrum of researchers in algebra and number theory.
Download or read book Trauma written by Jerrold R. Brandell and published by Columbia University Press. This book was released on 2019-11-19 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: An expanded and revised edition of the first social work text to focus specifically on the theoretical and clinical issues associated with trauma, this comprehensive anthology incorporates the latest research in trauma theory and clinical applications. It presents key developments in the conceptualization of trauma and covers a wide range of clinical treatments. Trauma features coverage of emerging therapeutic modalities and clinical themes, focusing on the experiences of historically disenfranchised, marginalized, oppressed, and vulnerable groups. Clinical chapters discuss populations and themes including cultural and historical trauma among Native Americans, the impact of bullying on children and adolescents, the use of art therapy with traumatically bereaved children, historical and present-day trauma experiences of incarcerated African American women, and the effects of trauma treatment on the therapist. Other chapters examine trauma-related interventions derived from diverse theoretical frameworks, such as cognitive-behavioral theory, attachment theory, mindfulness theory, and psychoanalytic theory.
Book Synopsis Oral and Literary Continuities in Modern Tibetan Literature by : Lama Jabb
Download or read book Oral and Literary Continuities in Modern Tibetan Literature written by Lama Jabb and published by Lexington Books. This book was released on 2015-06-10 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book-length study to appear in English on the literary, cultural and political roots of modern Tibetan literature. While existing scholarship on modern Tibetan writing takes the 1980s as its point of “birth” and presents this period as marking a “rupture” with traditional forms of literature, this book goes beyond such an interpretation by foregrounding instead the persistence of Tibet’s artistic past and oral traditions in the literary creativity of the present. While acknowledging the innovative features of modern Tibetan literary creation, it draws attention to the hitherto neglected aspects of continuity within the new. This study explores the endurance of genres, styles, concepts, techniques, symbolisms, and idioms derived from Tibet’s rich and diverse oral art forms and textual traditions. It reveals how Tibetan kāvya poetics, the mgur genre, life-writing, the Gesar epic and other modes of oral and literary compositions are referenced and adapted in novel ways within modern Tibetan poetry and fiction. It also brings to prominence the complex and fertile interplay between orality and the Tibetan literary text. Embracing a multidisciplinary approach drawing on theoretical insights in western literary theory and criticism, political studies, sociology, and anthropology, this research shows that, alongside literary and oral continuities, the Tibetan nation proves to be an inevitable attribute of modern Tibetan literature.
Download or read book Free Group Rings written by Narain Gupta and published by American Mathematical Soc.. This book was released on 1987 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with some aspects of linear techniques in combinatorial group theory having their origin in the work of Wilhelm Magnus in the 1930s. The central theme is the identification and properties of those subgroups of free groups which are induced by certain ideals of the integral group rings of free groups. This subject has been developed extensively, and the author seeks to present, in contemporary style, a systematic and comprehensive account of some of its developments. Included in the book are a solution of the Fox subgroup problem and an up-to-date development of the dimension subgroup problem. Aimed at graduate students and researchers in combinatorial group theory, the book requires a familiarity with the general terminology of free groups and group rings.
Book Synopsis Methods in Ring Theory by : Vesselin Drensky
Download or read book Methods in Ring Theory written by Vesselin Drensky and published by CRC Press. This book was released on 2021-02-28 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."
Book Synopsis Methods in Ring Theory by : Vesselin Drensky
Download or read book Methods in Ring Theory written by Vesselin Drensky and published by CRC Press. This book was released on 1998-03-27 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."
Book Synopsis Contemporary Organized Crime by : Hans Nelen
Download or read book Contemporary Organized Crime written by Hans Nelen and published by Springer Nature. This book was released on 2021-01-04 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume explores recent research and developments in the study of organized crime. It covers six key areas: drug-related issues; human trafficking and prostitution; sports and crime; procurement and corruption; and enforcement and prevention. The contributors provide timely research for understanding various aspects of organized crime, as well as the responses that have been developed worldwide to prevent and contain them. These contributions were presented at seminars of the Centre for Information and Research on Organized Crime (CIROC). It will be of interest to researchers in Criminology and Criminal Justice, particularly with an interest in organized crime and criminal networks, as well as related fields such as Comparative Law, and Political Science. This collection represents the most current thinking on entrenched problems of organized crime....This book is an important contribution in developing new approaches to organized crime and its control. — Jay S. Albanese, Ph.D., Professor and Chair, Criminal Justice Programs, Virginia Commonwealth University The book is very well organised and written and deals with a diversity of topics and approaches. — Ernesto U.Savona, Director of Transcrime, Professor of Criminology, Università Cattolica del Sacro Cuore, Milan
Book Synopsis Rings and Categories of Modules by : Frank W. Anderson
Download or read book Rings and Categories of Modules written by Frank W. Anderson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Exhibiting Craft and Design by : Alla Myzelev
Download or read book Exhibiting Craft and Design written by Alla Myzelev and published by Taylor & Francis. This book was released on 2017-06-14 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cover -- Title -- Copyright -- Dedication -- Contents -- List of Figures -- Notes on contributors -- Acknowledgements -- 1 Introduction: the persistence of the White Cube paradigm -- 2 Textiles on display, 1941-1969 -- 3 Crafting Koreanness: how Korean national identity became interwoven with the handmade object in the twentieth century -- 4 Within the guilded cage -- 5 Curatorial strategies that remain true to the craft object -- 6 Quiet revolution: contemporary curatorial approaches to ceramics in the White Cube -- 7 Jewellery can be worn too -- 8 Store/museum -- 9 'I could have visited Ikea for free': design museums and a complicated relationship with commerce -- 10 Outside the White Cube -- 11 Afterword: breaking free? -- Index
