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Introduction to Homological Methods in Commutative Rings by Anthony V. Geramita, Charles Small is a nonfiction available to read on EtoBox.

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Contents Introduction §0. Prerequisites §1. Height §2. Primary Decomposition §3. Length §4. The Principal Ideal Theorem (Hauptidealsatz). §5. sxstems of Parameters. §6. Polynomial Rings §7. Power Series Rings. §8. The Krull Intersection Theorem. §9. An Application of the Intersection Theorem to Primary Decomposition. §10. Cohen-Macaulay Rings §11. R-sequences and Grade. §12. Some Additional Properties of C - M rings. §13. Regular Local Rings. §14. Hilbert Rings and the Hilbert Nullstellensatz. §15. Some additional remarks on maximal ideals in polynomial rings. §16. Polynomial Rings over Dedekind Domains. §17. The Homological Machine. §18. Change of Rings and-Dimension of Polynomial Rings. §19. More on Change of Rings. §20. Homological Characterization of Regular Local Rings. §21. A Homological Characterization of Grade. §22. Localizing the Machine. §23. Domains of Global Dimension \leq 1. §24. Codimension. §25. Regular Local Rings are UFD's. §26. Lifting Finite Free Resolutions. §27. Irreducible Ideals and Gorenstein Rings. §28. Local Rings of Krull Dimension 0. §29. A Homological Characterization of Gorenstein Rings and a conjecture of Bass. Suggestions for Further Reading Referen

Who reads Introduction to Homological Methods in Commutative Rings?

Author

Anthony V. Geramita, Charles Small

Publisher

Queen's University

Published

1976

Language

EN

Category

nonfiction