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...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2004
|
| Edition: | Second edition |
| Series: | London Mathematical Society student texts
61 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (xxiv, 344 Seiten) |
| ISBN: | 9780511841699 |
| DOI: | 10.1017/CBO9780511841699 |
Staff View
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| indexdate | 2024-07-10T07:39:14Z |
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| isbn | 9780511841699 |
| language | English |
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| spelling | Goodearl, K. R. 1945- Verfasser (DE-588)102222297X aut An introduction to noncommutative noetherian rings K.R. Goodearl, R.B. Warfield, Jr Second edition Cambridge Cambridge University Press 2004 1 Online-Ressource (xxiv, 344 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 61 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 Noetherian rings Noncommutative rings Nichtkommutativer Ring (DE-588)4246997-1 gnd rswk-swf Noetherscher Ring (DE-588)4171970-0 gnd rswk-swf Nichtkommutativer Ring (DE-588)4246997-1 s Noetherscher Ring (DE-588)4171970-0 s DE-604 Warfield, Robert B. 1940-1989 Verfasser (DE-588)119145812 aut Erscheint auch als Druck-Ausgabe 978-0-521-83687-6 Erscheint auch als Druck-Ausgabe 978-0-521-54537-2 https://doi.org/10.1017/CBO9780511841699 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Goodearl, K. R. 1945- Warfield, Robert B. 1940-1989 An introduction to noncommutative noetherian rings Noetherian rings Noncommutative rings Nichtkommutativer Ring (DE-588)4246997-1 gnd Noetherscher Ring (DE-588)4171970-0 gnd |
| subject_GND | (DE-588)4246997-1 (DE-588)4171970-0 |
| title | An introduction to noncommutative noetherian rings |
| title_auth | An introduction to noncommutative noetherian rings |
| title_exact_search | An introduction to noncommutative noetherian rings |
| title_full | An introduction to noncommutative noetherian rings K.R. Goodearl, R.B. Warfield, Jr |
| title_fullStr | An introduction to noncommutative noetherian rings K.R. Goodearl, R.B. Warfield, Jr |
| title_full_unstemmed | An introduction to noncommutative noetherian rings K.R. Goodearl, R.B. Warfield, Jr |
| title_short | An introduction to noncommutative noetherian rings |
| title_sort | an introduction to noncommutative noetherian rings |
| topic | Noetherian rings Noncommutative rings Nichtkommutativer Ring (DE-588)4246997-1 gnd Noetherscher Ring (DE-588)4171970-0 gnd |
| topic_facet | Noetherian rings Noncommutative rings Nichtkommutativer Ring Noetherscher Ring |
| url | https://doi.org/10.1017/CBO9780511841699 |
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