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Lectures on the asymptotic theory of ideals

Author: D Rees
Publisher: Cambridge ; New York : Cambridge University Press, 1988.
Series: London Mathematical Society lecture note series, 113.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

This work 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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: D Rees
ISBN: 0521311276 9780521311274
OCLC Number: 17300681
Notes: Includes indexes.
Description: 201 pages ; 23 cm.
Contents: Preface; Introduction; 1. Graded rings and modules; 2. Filtrations and noether filtrations; 3. The theorems of matijevic and mori-nagata; 4. The valuation theorem; 5. The strong valuation theorem; 6. Ideal valuations (1); 7. Ideal valuations (2); 8. The multiplicity function associated with a filtration; 9. The degree function of a noether filtration; 10. The general extension of a local ring; 11. General elements; 12. Mixed multiplicities and the generalised degree formula; Bibliography; Index; Index of symbols.
Series Title: London Mathematical Society lecture note series, 113.
Responsibility: D. Rees.
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