Advances in Ring Theory

Advances in Ring Theory PDF Author: Sergio R. López-Permouth
Publisher: Springer Science & Business Media
ISBN: 3034602863
Category : Mathematics
Languages : en
Pages : 345

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Book Description
This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.

Advances in Ring Theory

Advances in Ring Theory PDF Author: Sergio R. López-Permouth
Publisher: Springer Science & Business Media
ISBN: 3034602863
Category : Mathematics
Languages : en
Pages : 345

Get Book Here

Book Description
This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.

Commutative Ring Theory and Applications

Commutative Ring Theory and Applications PDF Author: Marco Fontana
Publisher: CRC Press
ISBN: 9780203910627
Category : Mathematics
Languages : en
Pages : 524

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Book Description
Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geome

Ring Constructions and Applications

Ring Constructions and Applications PDF Author: Andrei V. Kelarev
Publisher: World Scientific
ISBN: 9812799729
Category : Mathematics
Languages : en
Pages : 218

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Book Description
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. Contents: Preliminaries; Graded Rings; Examples of Ring Constructions; The Jacobson Radical; Groups of Units; Finiteness Conditions; PI-Rings and Varieties; Gradings of Matrix Rings; Examples of Applications; Open Problems. Readership: Graduate students and researchers using ring constructions in their work.

Algorithmic Methods in Non-Commutative Algebra

Algorithmic Methods in Non-Commutative Algebra PDF Author: J.L. Bueso
Publisher: Springer Science & Business Media
ISBN: 9401702853
Category : Computers
Languages : en
Pages : 307

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Book Description
The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a self-contained way, concentrating on an in-depth study of the notion of a vast class of non-commutative rings (encompassing most quantum groups), the so-called Poincaré-Birkhoff-Witt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, etc.

Advances in Algebra and Model Theory

Advances in Algebra and Model Theory PDF Author: M Droste
Publisher: CRC Press
ISBN: 9789056991012
Category : Mathematics
Languages : en
Pages : 516

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Book Description
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.

Hopf Algebras

Hopf Algebras PDF Author: Jeffrey Bergen
Publisher: CRC Press
ISBN: 1482293153
Category : Mathematics
Languages : en
Pages : 279

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Book Description
This volume publishes key proceedings from the recent International Conference on Hopf Algebras held at DePaul University, Chicago, Illinois. With contributions from leading researchers in the field, this collection deals with current topics ranging from categories of infinitesimal Hopf modules and bimodules to the construction of a Hopf algebraic

Rings, Modules, Algebras, and Abelian Groups

Rings, Modules, Algebras, and Abelian Groups PDF Author: Alberto Facchini
Publisher: CRC Press
ISBN: 9780824750817
Category : Mathematics
Languages : en
Pages : 530

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Book Description
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

Paraconsistency

Paraconsistency PDF Author: Walter Alexandr Carnielli
Publisher: CRC Press
ISBN: 9780203910139
Category : Mathematics
Languages : en
Pages : 582

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Book Description
This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency. It also presents several systems of non-standard logics with paraconsistent features.

Advances In Algebra, Proceedings Of The Icm Satellite Conference In Algebra And Related Topics

Advances In Algebra, Proceedings Of The Icm Satellite Conference In Algebra And Related Topics PDF Author: Kar Ping Shum
Publisher: World Scientific
ISBN: 9814486787
Category : Mathematics
Languages : en
Pages : 531

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Book Description
This is the proceedings of the ICM2002 Satellite Conference on Algebras. Over 175 participants attended the meeting. The opening ceremony included an address by R Gonchidorazh, former vice-president of the Mongolian Republic in Ulaanbaatar. The topics covered at the conference included general algebras, semigroups, groups, rings, hopf algebras, modules, codes, languages, automation theory, graphs, fuzzy algebras and applications.

Ring Theory and Its Applications

Ring Theory and Its Applications PDF Author: Dinh Van Huynh
Publisher: American Mathematical Soc.
ISBN: 0821887971
Category : Mathematics
Languages : en
Pages : 330

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Book Description
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.