Table of 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.