Noncommutative Noetherian Rings

Author : John C. McConnell
Publisher : American Mathematical Soc.
ISBN 13 : 0821821695
Total Pages : 658 pages
Book Rating : 4.95/5 ( download)

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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.

Author : K. R. Goodearl
Publisher : Cambridge University Press
ISBN 13 : 9780521545372
Total Pages : 372 pages
Book Rating : 4.74/5 ( download)

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Download or read book An Introduction to Noncommutative Noetherian Rings written by K. R. Goodearl and published by Cambridge University Press. This book was released on 2004-07-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.

Author : K. R. Goodearl
Publisher : Cambridge University Press
ISBN 13 : 9780521369251
Total Pages : 328 pages
Book Rating : 4.58/5 ( download)

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Download or read book An Introduction to Noncommutative Noetherian Rings written by K. R. Goodearl and published by Cambridge University Press. This book was released on 1989 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).

Author : Christine M. Leroux
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.86/5 ( download)

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Download or read book On universal localization of noncommutative Noetherian rings written by Christine M. Leroux and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marco Fontana
Publisher : Springer Science & Business Media
ISBN 13 : 144196990X
Total Pages : 491 pages
Book Rating : 4.03/5 ( download)

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Download or read book Commutative Algebra written by Marco Fontana and published by Springer Science & Business Media. This book was released on 2010-09-29 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.

Author : John C. McConnell
Publisher :
ISBN 13 : 9780608212982
Total Pages : 612 pages
Book Rating : 4.89/5 ( download)

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Download or read book Noncommutative Noetherian Rings written by John C. McConnell and published by . This book was released on with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Surender K. Jain
Publisher : Springer
ISBN 13 : 3540467459
Total Pages : 173 pages
Book Rating : 4.58/5 ( download)

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Download or read book Non-Commutative Ring Theory written by Surender K. Jain and published by Springer. This book was released on 2006-11-14 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers of this volume share as a common goal the structure and classi- fication of noncommutative rings and their modules, and deal with topics of current research including: localization, serial rings, perfect endomorphism rings, quantum groups, Morita contexts, generalizations of injectivitiy, and Cartan matrices.

Author : J. T. Stafford
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.09/5 ( download)

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Download or read book Stable Structure of Noncommutative Noetherian Rings II written by J. T. Stafford and published by . This book was released on 1976* with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Matej Brešar
Publisher : Springer
ISBN 13 : 3319086936
Total Pages : 227 pages
Book Rating : 4.34/5 ( download)

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Download or read book Introduction to Noncommutative Algebra written by Matej Brešar and published by Springer. This book was released on 2014-10-14 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients. Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time.

Author : Edward Steven Letzter
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.25/5 ( download)

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Download or read book Finite Extensions of Noncommutative Noetherian Rings written by Edward Steven Letzter and published by . This book was released on 1988 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: