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An introduction to noncommutative Noetherian rings /
This 2004 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 throu...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, U.K. ; New York :
Cambridge University Press,
2004.
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| Edición: | 2nd ed. |
| Colección: | London Mathematical Society student texts ;
61. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This 2004 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. Various important settings, such as group algebras, Lie algebras, and quantum groups, are sketched at the outset to describe typical problems and provide motivation. The text then develops and illustrates the standard ingredients of the theory: e.g., skew polynomial rings, rings of fractions, bimodules, Krull dimension, linked prime ideals. Recurring emphasis is placed on prime ideals, which play a central role in applications to representation theory. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. Material includes the basic types of quantum groups, which then serve as test cases for the theory developed. |
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| Descripción Física: | 1 online resource (xxiv, 344 pages) |
| Bibliografía: | Includes bibliographical references (pages 328-337) and index. |
| ISBN: | 0511211929 9780511211928 0521836875 9780521836876 0521545374 9780521545372 0511217293 9780511217296 0511215509 9780511215506 9780511841699 0511841698 1107161584 9781107161580 1280540672 9781280540677 9786610540679 6610540675 0511315880 9780511315886 0511213697 9780511213694 |