Lectures on the asymptotic theory of ideals
By: D. Rees.
Series: London Mathematical Society lecture note series ;; 113
Publisher: Cambridge University Press
Published: 1988
Place of publication: Cambridge; New York
Language: eng
Number of pages: 201
Subjects: Ideals (Algebra) -- Asymptotic theory.
Description: 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.
Notes: Bibliography: p. [195]-198.
Includes indexes.