Table of Contents

Preface; 1. Regular sequences and depth; 2. Cohen-Macaulay rings; 3. The canonical module: Gorenstein rings; 4. Hilbert functions and multiplicities; 5. Stanley-Reisner rings; 6. Semigroup rings and invariant theory; 7. Determinantal rings; 8. Big Cohen-Macaulay modules; 9. Homological theorems; Appendix: summary of dimension theory; Bibliography; Index.

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The only modern, broad account of the subject; essential for graduate students and specialists.

Reviews

'… valuable not only for experts, but also for beginners equipped only with a basic knowledge of commutative and homological algebra.' European Maths Society Journal