Rings, Polynomials, and Modules

Rings, Polynomials, and Modules

Author: Marco Fontana

Publisher: Springer

Published: 2017-11-11

Total Pages: 374

ISBN-13: 3319658743

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This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non-Noetherian ring theory, module theory and integer-valued polynomials along with connections to algebraic number theory, algebraic geometry, topology and homological algebra. Most of the eighteen contributions are authored by attendees of the two conferences in commutative algebra that were held in the summer of 2016: “Recent Advances in Commutative Ring and Module Theory,” Bressanone, Italy; “Conference on Rings and Polynomials” Graz, Austria. There is also a small collection of invited articles authored by experts in the area who could not attend either of the conferences. Following the model of the talks given at these conferences, the volume contains a number of comprehensive survey papers along with related research articles featuring recent results that have not yet been published elsewhere.


Integral Closure of Ideals, Rings, and Modules

Integral Closure of Ideals, Rings, and Modules

Author: Craig Huneke

Publisher: Cambridge University Press

Published: 2006-10-12

Total Pages: 446

ISBN-13: 0521688604

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Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.


Cryptography and Coding

Cryptography and Coding

Author: Matthew G. Parker

Publisher: Springer Science & Business Media

Published: 2009-12-07

Total Pages: 505

ISBN-13: 3642108679

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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.


Rings, Modules, Algebras, and Abelian Groups

Rings, Modules, Algebras, and Abelian Groups

Author: Alberto Facchini

Publisher: CRC Press

Published: 2018-09-18

Total Pages:

ISBN-13: 9781138401839

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Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological algebraic structures, and provides more than 600 current references and 570 display equations for further exploration of the topic. It provides stimulating discussions from world-renowned names including Laszlo Fuchs, Robert Gilmer, Saharon Shelah, Daniel Simson, and Richard Swan to celebrate 40 years of study on cumulative rings. Describing emerging theories


Foundations of Module and Ring Theory

Foundations of Module and Ring Theory

Author: Robert Wisbauer

Publisher: Routledge

Published: 2018-05-11

Total Pages: 622

ISBN-13: 1351447343

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This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.


Ring and Module Theory

Ring and Module Theory

Author: Toma Albu

Publisher: Springer Science & Business Media

Published: 2011-02-04

Total Pages: 204

ISBN-13: 3034600070

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This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.


Introductory Lectures on Rings and Modules

Introductory Lectures on Rings and Modules

Author: John A. Beachy

Publisher: Cambridge University Press

Published: 1999-04-22

Total Pages: 252

ISBN-13: 9780521644075

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A first-year graduate text or reference for advanced undergraduates on noncommutative aspects of rings and modules.


Lessons on Rings, Modules and Multiplicities

Lessons on Rings, Modules and Multiplicities

Author: D. G. Northcott

Publisher:

Published: 2008-12-11

Total Pages: 472

ISBN-13:

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This volume provides a clear and self-contained introduction to important results in the theory of rings and modules. Assuming only the mathematical background provided by a normal undergraduate curriculum, the theory is derived by comparatively direct and simple methods. It will be useful to both undergraduates and research students specialising in algebra. In his usual lucid style the author introduces the reader to advanced topics in a manner which makes them both interesting and easy to assimilate. As the text gives very full explanations, a number of well-ordered exercises are included at the end of each chapter. These lead on to further significant results and give the reader an opportunity to devise his own arguments and to test his understanding of the subject.