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

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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.


Book Synopsis Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications by : Surender Kumar Jain

Download or read book Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications written by Surender Kumar Jain and published by American Mathematical Soc.. This book was released on 2008 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author: Steven Dougherty

Publisher: American Mathematical Soc.

Published: 2015-02-20

Total Pages: 280

ISBN-13: 147041032X

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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.


Book Synopsis Noncommutative Rings and Their Applications by : Steven Dougherty

Download or read book Noncommutative Rings and Their Applications written by Steven Dougherty and published by American Mathematical Soc.. This book was released on 2015-02-20 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author: A. Giambruno

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 283

ISBN-13: 0821847716

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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.


Book Synopsis Groups, Rings and Group Rings by : A. Giambruno

Download or read book Groups, Rings and Group Rings written by A. Giambruno and published by American Mathematical Soc.. This book was released on 2009 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author: I. N. Herstein

Publisher: Cambridge University Press

Published: 2005-09-08

Total Pages: 220

ISBN-13: 9780883850398

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


Book Synopsis Noncommutative Rings by : I. N. Herstein

Download or read book Noncommutative Rings written by I. N. Herstein and published by Cambridge University Press. This book was released on 2005-09-08 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cross-section of ideas, techniques and results that give the reader an unparalleled introductory overview of the subject.

A First Course in Noncommutative Rings

A First Course in Noncommutative Rings

Author: Tsit-Yuen Lam

Publisher: Springer Science & Business Media

Published: 2013-01-06

Total Pages: 406

ISBN-13: 1441986162

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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.


Book Synopsis A First Course in Noncommutative Rings by : Tsit-Yuen Lam

Download or read book A First Course in Noncommutative Rings written by Tsit-Yuen Lam and published by Springer Science & Business Media. This book was released on 2013-01-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Noncommutative Noetherian Rings

Noncommutative Noetherian Rings

Author: John C. McConnell

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 658

ISBN-13: 0821821695

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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.


Book Synopsis Noncommutative Noetherian Rings by : John C. McConnell

Download or read book Noncommutative Noetherian Rings written by John C. McConnell and published by American Mathematical Soc.. This book was released on 2001 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

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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.


Book Synopsis Group Identities on Units and Symmetric Units of Group Rings by : Gregory T Lee

Download or read book Group Identities on Units and Symmetric Units of Group Rings written by Gregory T Lee and published by Springer Science & Business Media. This book was released on 2010-08-19 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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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.


Book Synopsis Quantum Groups and Noncommutative Spaces by : Matilde Marcolli

Download or read book Quantum Groups and Noncommutative Spaces written by Matilde Marcolli and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author: Mathematisches Forschungsinstitut Oberwolfach

Publisher: American Mathematical Society(RI)

Published: 2014-05-22

Total Pages: 130

ISBN-13: 9781470412517

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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.


Book Synopsis Noetherian Rings and Their Applications by : Mathematisches Forschungsinstitut Oberwolfach

Download or read book Noetherian Rings and Their Applications written by Mathematisches Forschungsinstitut Oberwolfach and published by American Mathematical Society(RI). This book was released on 2014-05-22 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Rings, Modules and Codes

Rings, Modules and Codes

Author: André Leroy

Publisher: American Mathematical Soc.

Published: 2019-04-12

Total Pages: 355

ISBN-13: 1470441047

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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.


Book Synopsis Rings, Modules and Codes by : André Leroy

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.