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In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work is an expansion of lectures given at Nagoya University.

Buy Lectures on the Asymptotic Theory of Ideals book by D. Rees from Australia's Online Bookstore, Boomerang Books.

Book Details

ISBN: 9780521311274
ISBN-10: 0521311276
Format: Paperback
(228mm x 152mm x 13mm)
Pages: 216
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Nov-1988
Country of Publication: United Kingdom

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