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Noetherian Rings and Their Applications
Edited by: Lance W. Small

Mathematical Surveys and Monographs
1987; 118 pp; hardcover
Volume: 24
ISBN-10: 0-8218-1525-3
ISBN-13: 978-0-8218-1525-0
List Price: US$60
Member Price: US$48
Order Code: SURV/24
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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.

Table of Contents

  • J. T. Stafford -- The Goldie rank of a module
  • D. R. Farkas -- Noetherian group rings: An exercise in creating folklore and intuition
  • J. C. Jantzen -- Primitive ideals in the enveloping algebra of a semisimple Lie algebra
  • T. J. Enright -- Representation theory of semisimple Lie algebras
  • J.-E. Björk -- Filtered Noetherian rings
  • R. Rentschler -- Primitive ideals in enveloping algebras
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