Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications

Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications PDF Author: Surender Kumar Jain
Publisher: American Mathematical Soc.
ISBN: 0821842854
Category : Mathematics
Languages : en
Pages : 242

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Book Description
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.

Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications

Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications PDF Author: Surender Kumar Jain
Publisher: American Mathematical Soc.
ISBN: 0821842854
Category : Mathematics
Languages : en
Pages : 242

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Book Description
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.

Noncommutative Rings and Their Applications

Noncommutative Rings and Their Applications PDF Author: Steven Dougherty
Publisher: American Mathematical Soc.
ISBN: 147041032X
Category : Mathematics
Languages : en
Pages : 280

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Book Description
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.

Groups, Rings and Group Rings

Groups, Rings and Group Rings PDF Author: A. Giambruno
Publisher: American Mathematical Soc.
ISBN: 0821847716
Category : Mathematics
Languages : en
Pages : 283

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Book Description
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

Noncommutative Rings PDF Author: I. N. Herstein
Publisher: Cambridge University Press
ISBN: 9780883850398
Category : Mathematics
Languages : en
Pages : 220

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Book Description
A cross-section of ideas, techniques and results that give the reader an unparalleled introductory overview of the subject.

Noncommutative Noetherian Rings

Noncommutative Noetherian Rings PDF Author: John C. McConnell
Publisher: American Mathematical Soc.
ISBN: 0821821695
Category : Mathematics
Languages : en
Pages : 658

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Book Description
This is a reprinted edition of a work that was considered the definitive account in the subject area upon its initial publication by J. Wiley & Sons in 1987. It presents, within a wider context, a comprehensive account of noncommutative Noetherian rings. The author covers the major developments from the 1950s, stemming from Goldie's theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory. The book is not restricted to Noetherian rings, but discusses wider classes of rings where the methods apply more generally. In the current edition, some errors were corrected, a number of arguments have been expanded, and the references were brought up to date. This reprinted edition will continue to be a valuable and stimulating work for readers interested in ring theory and its applications to other areas of mathematics.

A First Course in Noncommutative Rings

A First Course in Noncommutative Rings PDF Author: Tsit-Yuen Lam
Publisher: Springer Science & Business Media
ISBN: 1441986162
Category : Mathematics
Languages : en
Pages : 406

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Book Description
Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.

Groups, Rings, Group Rings, and Hopf Algebras

Groups, Rings, Group Rings, and Hopf Algebras PDF Author: Jeffrey Bergen
Publisher: American Mathematical Soc.
ISBN: 1470428059
Category : Mathematics
Languages : en
Pages : 294

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Book Description
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 PDF Author: Gregory T Lee
Publisher: Springer Science & Business Media
ISBN: 1849965048
Category : Mathematics
Languages : en
Pages : 198

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Book Description
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 PDF Author: Matilde Marcolli
Publisher: Springer Science & Business Media
ISBN: 3834898317
Category : Mathematics
Languages : en
Pages : 247

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Book Description
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.

Noetherian Rings and Their Applications

Noetherian Rings and Their Applications PDF Author: Mathematisches Forschungsinstitut Oberwolfach
Publisher: American Mathematical Society(RI)
ISBN: 9781470412517
Category : Lie algebras
Languages : en
Pages : 130

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Book Description
Suitable for researchers in ring theory or allied topics, such as the representation theory of finite dimensional Lie algebras, this book presents advances in ring theory and their applications to other areas. It includes such topics as the structure of group rings of polycyclic-by-finite groups, and localization in non commutative rings.