Non-commutative Local Rings and Quotient Rings
Author | : Merry Morgan Lomanitz |
Publisher | : |
Total Pages | : 104 |
Release | : 1967 |
Genre | : Rings (Algebra) |
ISBN | : |
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Author | : Merry Morgan Lomanitz |
Publisher | : |
Total Pages | : 104 |
Release | : 1967 |
Genre | : Rings (Algebra) |
ISBN | : |
Author | : I. N. Herstein |
Publisher | : American Mathematical Soc. |
Total Pages | : 202 |
Release | : 1994-12-31 |
Genre | : Mathematics |
ISBN | : 088385015X |
Noncommutative Rings provides a cross-section of ideas, techniques, and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie's theorem, and the Golod–Shafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph.
Author | : John C. McConnell |
Publisher | : American Mathematical Soc. |
Total Pages | : 658 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821821695 |
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 | : Tsit-Yuen Lam |
Publisher | : Springer Science & Business Media |
Total Pages | : 406 |
Release | : 2013-01-06 |
Genre | : Mathematics |
ISBN | : 1441986162 |
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.
Author | : Michael F. Atiyah |
Publisher | : CRC Press |
Total Pages | : 140 |
Release | : 2018-03-09 |
Genre | : Mathematics |
ISBN | : 0429973268 |
First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.
Author | : Bruno J. Mueller |
Publisher | : |
Total Pages | : 88 |
Release | : 1975 |
Genre | : Noncommutative rings |
ISBN | : |
Author | : Sie-hua Chen |
Publisher | : |
Total Pages | : 31 |
Release | : 1969 |
Genre | : Rings (Algebra) |
ISBN | : |
Author | : Surender Kumar Jain |
Publisher | : American Mathematical Soc. |
Total Pages | : 242 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821842854 |
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.
Author | : Masayoshi Nagata |
Publisher | : |
Total Pages | : 260 |
Release | : 1975 |
Genre | : Mathematics |
ISBN | : |
Author | : K. R. Goodearl |
Publisher | : Cambridge University Press |
Total Pages | : 372 |
Release | : 2004-07-12 |
Genre | : Mathematics |
ISBN | : 9780521545372 |
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.