Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications
Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications

Author: Surender Kumar Jain

Publisher: American Mathematical Soc.

Published: 2008

Total Pages: 242

ISBN-13: 0821842854

DOWNLOAD EBOOK

Articles in this volume are based on talks given at the International Conference on Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications. The conference provided researchers in mathematics with the opportunity to discuss new developments in these rapidly growing fields. This book contains several excellent articles, both expository and original, with new and significant results. It is suitable for graduate students and researchers interested in Ring Theory,Diagram Algebras and related topics.

Groups, Rings, Group Rings, and Hopf Algebras
Groups, Rings, Group Rings, and Hopf Algebras

Author: Jeffrey Bergen

Publisher: American Mathematical Soc.

Published: 2017-04-24

Total Pages: 294

ISBN-13: 1470428059

DOWNLOAD EBOOK

This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2–4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3–4, 2015, at Loyola University, Chicago, IL. Both conferences were held in honor of Donald S. Passman's 75th Birthday. Centered in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.

Group Identities on Units and Symmetric Units of Group Rings
Group Identities on Units and Symmetric Units of Group Rings

Author: Gregory T Lee

Publisher: Springer Science & Business Media

Published: 2010-08-19

Total Pages: 198

ISBN-13: 1849965048

DOWNLOAD EBOOK

Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed. Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined. This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest.

Quantum Groups and Noncommutative Spaces
Quantum Groups and Noncommutative Spaces

Author: Matilde Marcolli

Publisher: Springer Science & Business Media

Published: 2010-11-02

Total Pages: 247

ISBN-13: 3834898317

DOWNLOAD EBOOK

This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries. The volume collects surveys by experts which originate from an acitvity at the Max-Planck-Institute for Mathematics in Bonn.

Groups, Rings and Group Rings
Groups, Rings and Group Rings

Author: A. Giambruno

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 283

ISBN-13: 0821847716

DOWNLOAD EBOOK

Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

Noncommutative Rings and Their Applications
Noncommutative Rings and Their Applications

Author: Steven Dougherty

Publisher: American Mathematical Soc.

Published: 2015-02-20

Total Pages: 280

ISBN-13: 147041032X

DOWNLOAD EBOOK

Contains the Proceedings of an International Conference on Noncommutative Rings and Their Applications, held July 1-4, 2013, at the Universite d'Artois, Lens, France. It presents recent developments in the theories of noncommutative rings and modules over such rings as well as applications of these to coding theory, enveloping algebras, and Leavitt path algebras.

Rings, Modules and Codes
Rings, Modules and Codes

Author: André Leroy

Publisher: American Mathematical Soc.

Published: 2019-04-12

Total Pages: 370

ISBN-13: 1470441047

DOWNLOAD EBOOK

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.

Model Theory of Modules, Algebras and Categories
Model Theory of Modules, Algebras and Categories

Author: Alberto Facchini

Publisher: American Mathematical Soc.

Published: 2019-05-31

Total Pages: 250

ISBN-13: 1470443678

DOWNLOAD EBOOK

This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28–August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.

Advances in Rings, Modules and Factorizations
Advances in Rings, Modules and Factorizations

Author: Alberto Facchini

Publisher: Springer Nature

Published: 2020-06-02

Total Pages: 341

ISBN-13: 3030434168

DOWNLOAD EBOOK

Occasioned by the international conference "Rings and Factorizations" held in February 2018 at University of Graz, Austria, this volume represents a wide range of research trends in the theory of commutative and non-commutative rings and their modules, including multiplicative ideal theory, Dedekind and Krull rings and their generalizations, rings of integer valued-polynomials, topological aspects of ring theory, factorization theory in rings and semigroups and direct-sum decompositions of modules. The volume will be of interest to researchers seeking to extend or utilize work in these areas as well as graduate students wishing to find entryways into active areas of current research in algebra. A novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may be treated with overlapping and reinforcing approaches.

Semilocal Categories and Modules with Semilocal Endomorphism Rings
Semilocal Categories and Modules with Semilocal Endomorphism Rings

Author: Alberto Facchini

Publisher: Springer Nature

Published: 2019-10-23

Total Pages: 473

ISBN-13: 3030232840

DOWNLOAD EBOOK

This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material. In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research. Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.