| eBook ISBN: | 978-1-4704-1251-7 |
| Product Code: | SURV/24.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-1-4704-1251-7 |
| Product Code: | SURV/24.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsMathematical Surveys and MonographsVolume: 24; 1987; 118 ppMSC: Primary 16
Researchers in ring theory or allied topics, such as the representation theory of finite dimensional Lie algebras, will appreciate this collection of expository lectures on advances in ring theory and their applications to other areas. Five of the lectures were delivered at a conference on Noetherian rings at the Mathematisches Forschungsinstitut, Oberwolfach, in January 1983, and the sixth was delivered at a London Mathematical Society Durham conference in July 1983. The study of the prime and primitive ideal spectra of various classes of rings forms a common theme in the lectures, and they touch on such topics as the structure of group rings of polycyclic-by-finite groups, localization in noncommutative rings, and rings of differential operators. The lectures require the background of an advanced graduate student in ring theory and may be used in seminars in ring theory at this level.
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Table of Contents
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Articles
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J. T. Stafford — 1. The Goldie rank of a module [ MR 921075 ]
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Thomas J. Enright — 2. Representation theory of semisimple Lie algebras [ MR 921076 ]
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J. C. Jantzen — 3. Primitive ideals in the enveloping algebra of a semisimple Lie algebra [ MR 921077 ]
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R. Rentschler — 4. Primitive ideals in enveloping algebras (general case) [ MR 921078 ]
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Jan-Erik Björk — 5. Filtered Noetherian rings [ MR 921079 ]
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Daniel R. Farkas — 6. Noetherian group rings: An exercise in creating folklore and intuition [ MR 921080 ]
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Researchers in ring theory or allied topics, such as the representation theory of finite dimensional Lie algebras, will appreciate this collection of expository lectures on advances in ring theory and their applications to other areas. Five of the lectures were delivered at a conference on Noetherian rings at the Mathematisches Forschungsinstitut, Oberwolfach, in January 1983, and the sixth was delivered at a London Mathematical Society Durham conference in July 1983. The study of the prime and primitive ideal spectra of various classes of rings forms a common theme in the lectures, and they touch on such topics as the structure of group rings of polycyclic-by-finite groups, localization in noncommutative rings, and rings of differential operators. The lectures require the background of an advanced graduate student in ring theory and may be used in seminars in ring theory at this level.
-
Articles
-
J. T. Stafford — 1. The Goldie rank of a module [ MR 921075 ]
-
Thomas J. Enright — 2. Representation theory of semisimple Lie algebras [ MR 921076 ]
-
J. C. Jantzen — 3. Primitive ideals in the enveloping algebra of a semisimple Lie algebra [ MR 921077 ]
-
R. Rentschler — 4. Primitive ideals in enveloping algebras (general case) [ MR 921078 ]
-
Jan-Erik Björk — 5. Filtered Noetherian rings [ MR 921079 ]
-
Daniel R. Farkas — 6. Noetherian group rings: An exercise in creating folklore and intuition [ MR 921080 ]
