Rings Modules And Codes
DOWNLOAD
Download Rings Modules And Codes PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Rings Modules And Codes book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Rings Modules And Codes
DOWNLOAD
Author : Andre Gerard Leroy
language : en
Publisher:
Release Date : 2019
Rings Modules And Codes written by Andre Gerard Leroy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Electronic books categories.
This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12-15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed-Mull.
Rings Modules And Codes
DOWNLOAD
Author : André Leroy
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-04-12
Rings Modules And Codes written by André Leroy and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-12 with Modules (Algebra) categories.
This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.
Lectures On Rings And Modules
DOWNLOAD
Author : Joachim Lambek
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Lectures On Rings And Modules written by Joachim Lambek and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Associative rings categories.
This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained. The topics covered include selected results on Boolean and other commutative rings, the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra. Besides three appendices on further results, there is a six-page section of historical comments. Table of Contents: Fundamental Concepts of Algebra: 1.1 Rings and related algebraic systems; 1.2 Subrings, homomorphisms, ideals; 1.3 Modules, direct products, and direct sums; 1.4 Classical isomorphism theorems. Selected Topics on Commutative Rings: 2.1 Prime ideals in commutative rings; 2.2 Prime ideals in special commutative rings; 2.3 The complete ring of quotients of a commutative ring; 2.4 Rings of quotients of commutative semiprime rings; 2.5 Prime ideal spaces.Classical Theory of Associative Rings: 3.1 Primitive rings; 3.2 Radicals; 3.3 Completely reducible modules; 3.4 Completely reducible rings; 3.5 Artinian and Noetherian rings; 3.6 On lifting idempotents; 3.7 Local and semiperfect rings. Injectivity and Related Concepts: 4.1 Projective modules; 4.2 Injective modules; 4.3 The complete ring of quotients; 4.4 Rings of endomorphisms of injective modules; 4.5 Regular rings of quotients; 4.6 Classical rings of quotients; 4.7 The Faith-Utumi theorem. Introduction to Homological Algebra: 5.1 Tensor products of modules; 5.2 Hom and $\otimes$ as functors; 5.3 Exact sequences; 5.4 Flat modules; 5.5 Torsion and extension products. Appendixes; Comments; Bibliography; Index. Review from Zentralblatt Math: Due to their clarity and intelligible presentation, these lectures on rings and modules are a particularly successful introduction to the surrounding circle of ideas. Review from American Mathematical Monthly: An introduction to associative rings and modules which requires of the reader only the mathematical maturity which one would attain in a first-year graduate algebra [course]...in order to make the contents of the book as accessible as possible, the author develops all the fundamentals he will need.In addition to covering the basic topics...the author covers some topics not so readily available to the nonspecialist...the chapters are written to be as independent as possible...[which will be appreciated by] students making their first acquaintance with the subject...one of the most successful features of the book is that it can be read by graduate students with little or no help from a specialist. (CHEL/283.H)
Rings Modules And Representations
DOWNLOAD
Author : Viet Dung Nguyen, Nguyen Viet Dung, Carl Clifton Faith, Barbara Osofsky
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Rings Modules And Representations written by Viet Dung Nguyen, Nguyen Viet Dung, Carl Clifton Faith, Barbara Osofsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Associative rings categories.
Codes And Modular Forms A Dictionary
DOWNLOAD
Author : Minjia Shi
language : en
Publisher: World Scientific
Release Date : 2019-11-20
Codes And Modular Forms A Dictionary written by Minjia Shi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-20 with Mathematics categories.
There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990's there is a need for an update at book level.
Modules And Rings
DOWNLOAD
Author : John Dauns
language : en
Publisher: Cambridge University Press
Release Date : 1994-10-28
Modules And Rings written by John Dauns and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-28 with Mathematics categories.
This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.
Rings Modules And The Total
DOWNLOAD
Author : Friedrich Kasch
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-25
Rings Modules And The Total written by Friedrich Kasch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-25 with Mathematics categories.
Accessible to anyone with a basic knowledge of ring and module theory A short introduction to torsion-free Abelian groups is included
Rings And Categories Of Modules
DOWNLOAD
Author : Frank W. Anderson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Rings And Categories Of Modules written by Frank W. Anderson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Extensions Of Rings And Modules
DOWNLOAD
Author : Gary F. Birkenmeier
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-19
Extensions Of Rings And Modules written by Gary F. Birkenmeier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-19 with Mathematics categories.
The "extensions" of rings and modules have yet to be explored in detail in a research monograph. This book presents state of the art research and also stimulating new and further research. Broken into three parts, Part I begins with basic notions, terminology, definitions and a description of the classes of rings and modules. Part II considers the transference of conditions between a base ring or module and its extensions. And Part III utilizes the concept of a minimal essental extension with respect to a specific class (a hull). Mathematical interdisciplinary applications appear throughout. Major applications of the ring and module theory to Functional Analysis, especially C*-algebras, appear in Part III, make this book of interest to Algebra and Functional Analysis researchers. Notes and exercises at the end of every chapter, and open problems at the end of all three parts, lend this as an ideal textbook for graduate or advanced undergradate students.
Cyclic Codes As Submodules Of Rings And Direct Product Of Rings
DOWNLOAD
Author : Roger Ten Valls
language : en
Publisher:
Release Date : 2017
Cyclic Codes As Submodules Of Rings And Direct Product Of Rings written by Roger Ten Valls and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Els codis cíclics són una família important en la teoria de la codificació i han estat una àrea principal d'estudi des de la seva aparició. Fins a la dècada dels 90, els alfabets habitualment utilitzats en teoria de codis eren cossos finits. A partir d'aleshores, es va iniciar l'estudi de codis definits sobre anells. Des de l'aparició dels codis Z2Z4-additius, la investigació de codis sobre alfabets d'anells mixtes s'ha incrementat. L'any 2014, Abualrub et al. van presentar els codis cíclics Z2Z4-additius i aquest fet va marcar l'inici de l'estudi de les propietats cícliques en codis sobre alfabets mixtes. La present tesi té com a objectiu examinar l'estructura algebraica dels codis cíclics com a submòduls de productes directes d'anells finits. Partint del fet que aquests codis poden ser interpretats com a submòduls del producte directe d'anells de polinomis, es determina l'estructura d'aquests codis cíclics tot donant els seus polinomis generadors. A més, s'estudia el concepte de dualitat definint l'operació polinòmica corresponent al producte intern de vectors. Aquesta operació permet entendre la dualitat en l'anell de polinomis corresponent. Així mateix, es proporcionen tècniques per donar una descripció polinòmica dels codis duals en termes dels polinomis generadors dels codis cíclics i es calculen explícitament en alguns casos particulars. També es consideren diferents mètriques en el producte directe d'anells finits i s'estudien les seves imatges binàries a través de diferents aplicacions que preserven les distàncies, anomenades aplicacions de Gray. Finalment, es dóna una estructura algebraica per a una gran família de codis quasi-cíclics binaris tot construint una família d'anells commutatius i una aplicació de Gray canònica. De tal manera que els codis cíclics sobre aquesta família d'anells produeixen codis quasi-cíclics d'índex arbitrari en l'espai d'Hamming a través de l'aplicació de Gray.
