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Topics in the Homological Theory of Modules over Commutative Rings

About this Title

M. Hochster

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1975; Volume 24
ISBNs: 978-0-8218-1674-5 (print); 978-1-4704-2384-1 (online)
DOI: https://doi.org/10.1090/cbms/024

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Table of Contents

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Front/Back Matter

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Chapters

• 0. Introduction
• 1. Preliminaries
• 2. Some Open Questions
• 3. Consequences of the Existence of Cohen-Macaulay Modules
• 4. Modifications and the Existence of Big Cohen-Macaulay Modules in Characteristic $p > 0$
• 5. Henselian Rings, M. Artin’s Approximation Theorem, and Big Cohen-Macaulay Modules Over Fields of Characteristic 0
• 6. Depth-Sensitivity Theorems and Exactness Criteria
• 7. Modules of Projective Dimension 2, Generic Modules of Finite Projective Dimension, and the Buchsbaum-Eisenbud Structure Theorems
• 8. Linear Algebraic Groups
• 9. Applications of Homological Methods and Some More Open Questions
• 10. Supplement