Noetherian rings and their applications
著者
書誌事項
Noetherian rings and their applications
（Mathematical surveys and monographs, no. 24）
American Mathematical Society, c1987
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注記
Largely lectures presented during a conference held at the Mathematisches Forschungsinstitut Oberwolfach, Jan. 23-29, 1983
Includes bibliographies
内容説明・目次
内容説明
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 non commutative 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.
目次
The Goldie rank of a module by J. T. Stafford Noetherian group rings: An exercise in creating folklore and intuition by D. R. Farkas Primitive ideals in the enveloping algebra of a semisimple Lie algebra by J. C. Jantzen Representation theory of semisimple Lie algebras by T. J. Enright Filtered Noetherian rings by J.-E. Bjork Primitive ideals in enveloping algebras by R. Rentschler.
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