Noncommutative Noetherian Rings (Graduate Studies in Mathematics) by J. C. McConnell and J. C. Robson (PDF)

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This is an updated edition of a work that was considered the definitive account in the subject area upon its initial publication by J. Wiley & Sons in 1987. It presents, within a wider context, a comprehensive account of noncommutative Noetherian rings. The author covers the major developments from the 1950s, stemming from Goldie’s theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory. The book is not restricted to Noetherian rings, but discusses wider classes of rings where the methods apply more generally. In the current edition, some errors were corrected, a number of arguments have been expanded, and the references were brought up to date. This reprinted edition will continue to be a valuable and stimulating work for readers interested in ring theory and its applications to other areas of mathematics.

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Editorial Reviews: Review An abundance of well-organized material … a must for those in the area. — International Mathematical NewsSelf-contained, comprehensive … The creation of this valuable resource is a service to mathematics … –Mathematical Reviews

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