Rings Modules And Codes

Author : André Leroy
Publisher : American Mathematical Soc.
ISBN 13 : 1470441047
Total Pages : 355 pages
Book Rating : 4.43/5 ( download)

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Download or read book Rings, Modules and Codes written by André Leroy and published by American Mathematical Soc.. This book was released on 2019-04-12 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Andre Gerard Leroy
Publisher :
ISBN 13 : 9781470452377
Total Pages : 355 pages
Book Rating : 4.75/5 ( download)

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Download or read book Rings, Modules and Codes written by Andre Gerard Leroy and published by . This book was released on 2019 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : T.Y. Lam
Publisher : Springer Science & Business Media
ISBN 13 : 0387488995
Total Pages : 427 pages
Book Rating : 4.98/5 ( download)

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Download or read book Exercises in Modules and Rings written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2009-12-08 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.

Author : Matthew G. Parker
Publisher : Springer Science & Business Media
ISBN 13 : 3642108679
Total Pages : 505 pages
Book Rating : 4.79/5 ( download)

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Download or read book Cryptography and Coding written by Matthew G. Parker and published by Springer Science & Business Media. This book was released on 2009-12-07 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The12thintheseriesofIMAConferencesonCryptographyandCodingwasheld at the Royal Agricultural College, Cirencester, December 15–17, 2009. The p- gram comprised 3 invited talks and 26 contributed talks. The contributed talks werechosenbyathoroughreviewingprocessfrom53submissions.Oftheinvited and contributed talks,28 arerepresentedaspapersin this volume. These papers are grouped loosely under the headings: Coding Theory, Symmetric Crypt- raphy, Security Protocols, Asymmetric Cryptography, Boolean Functions, and Side Channels and Implementations. Numerous people helped to make this conference a success. To begin with I would like to thank all members of the Technical Program Committee who put a great deal of e?ort into the reviewing process so as to ensure a hi- quality program. Moreover, I wish to thank a number of people, external to the committee, who also contributed reviews on the submitted papers. Thanks, of course,mustalso goto allauthorswho submitted papers to the conference,both those rejected and accepted. The review process was also greatly facilitated by the use of the Web-submission-and-review software, written by Shai Halevi of IBM Research, and I would like to thank him for making this package available to the community. The invited talks were given by Frank Kschischang, Ronald Cramer, and Alexander Pott, and two of these invitedtalksappearaspapersinthisvolume. A particular thanks goes to these invited speakers, each of whom is well-known, notonlyforbeingaworld-leaderintheir?eld,butalsofortheirparticularability to communicate their expertise in an enjoyable and stimulating manner.

Author : Viet Dung Nguyen
Publisher : American Mathematical Soc.
ISBN 13 : 0821843702
Total Pages : 377 pages
Book Rating : 4.03/5 ( download)

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Download or read book Rings, Modules and Representations written by Viet Dung Nguyen 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.

Author : John Dauns
Publisher : Cambridge University Press
ISBN 13 : 0521462584
Total Pages : 470 pages
Book Rating : 4.87/5 ( download)

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Download or read book Modules and Rings written by John Dauns and published by Cambridge University Press. This book was released on 1994-10-28 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Minjia Shi
Publisher : Academic Press
ISBN 13 : 0128133910
Total Pages : 318 pages
Book Rating : 4.10/5 ( download)

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Download or read book Codes and Rings written by Minjia Shi and published by Academic Press. This book was released on 2017-06-12 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature Discusses duality formulas in the context of Frobenius rings Reviews decomposition of quasi-cyclic codes under ring action Evaluates the ideal and modular structure of skew-cyclic codes Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction

Author : Melvin Hochster
Publisher : American Mathematical Soc.
ISBN 13 : 0821816748
Total Pages : 86 pages
Book Rating : 4.45/5 ( download)

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Download or read book Topics in the Homological Theory of Modules Over Commutative Rings written by Melvin Hochster and published by American Mathematical Soc.. This book was released on 1975 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains expository lectures from the CBMS Regional Conference in Mathematics held at the University of Nebraska, June 1974. This book deals mainly with developments and still open questions in the homological theory of modules over commutative (usually, Noetherian) rings.

Author : Michiel Hazewinkel
Publisher : CRC Press
ISBN 13 : 1482245051
Total Pages : 388 pages
Book Rating : 4.59/5 ( download)

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Download or read book Algebras, Rings and Modules written by Michiel Hazewinkel and published by CRC Press. This book was released on 2016-04-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This volume is a continuation and an in-depth study, stressing the non-commutative nature of the first two volumes of Algebras, Rings and Modules by M. Hazewinkel, N. Gubareni, and V. V. Kirichenko. It is largely independent of the other volumes. The relevant constructions and results from earlier volumes have been presented in this volume.

Author : Maurice Auslander
Publisher : Courier Corporation
ISBN 13 : 048679542X
Total Pages : 484 pages
Book Rating : 4.23/5 ( download)

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Download or read book Groups, Rings, Modules written by Maurice Auslander and published by Courier Corporation. This book was released on 2014-06-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem, algebraic field extension, Dedekind domains, and much more. 1974 edition.