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Lectures on the Asymptotic Theory of Ideals

Lectures on the Asymptotic Theory of Ideals

Paperback

Series: London Mathematical Society Lecture Note, Book 113

Algebra

ISBN10: 0521311276
ISBN13: 9780521311274
Publisher: Cambridge University Press
Published: Nov 25 1988
Pages: 216
Weight: 0.78
Height: 0.57 Width: 6.12 Depth: 9.10
Language: English
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.

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Algebra