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Author:   Robert M. Fossum
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1973
Volume:   74
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.254kg
ISBN:  

9783642884078

ISBN 10:   3642884075
Pages:   150
Publication Date:   10 April 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

I. Krull Domains.- § 1. The Definition of a Krull Ring.- § 2. Lattices.- § 3. Completely Integrally Closed Rings.- § 4. Krull’s Normality Criterion and the Mori-Nagata Integral Closure Theorem.- § 5. Divisorial Lattices and the Approximation Theorem.- II. The Divisor Class Group and Factorial Rings.- § 6. The Divisor Class Group and its Functorial Properties.- § 7. Nagata’s Theorem.- § 8. Polynomial Extensions.- § 9. Regular Local Rings.- § 10. Graded Krull Domains and Homogeneous Ideals.- §11. Quadratic Forms.- §12. Murthy’s Theorem.- III. Dedekind Domains.- § 13. Dedekind Domains and a Generalized Approximation Theorem.- § 14. Every Abelian Group is an Ideal Class Group.- § 15. Presentations of Ideal Class Groups of Dedekind Domains.- IV. Descent.- § 16. Galois Descent.- § 17. Radical Descent.- V. Completions and Formal Power Series Extensions.- § 18. The Picard Group.- § 19. Completions, Formal Power Series and Danilov’s Results..- Appendix I: Terminology and Notation.- Appendix II: List of Results.

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