交换代数（第2卷）

出版时间：2000-12  出版社：北京世图  作者：[]OscarZariski，  页数：414  
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内容概要

这套两卷集教材由哈佛大学著名数学家O.Zariski和法国数学家P.Samuel共同撰写，1958年由Nostrand出版公司出版，后来被译成俄、法等多种版本。1973年被纳Springer出版社的《数学研究生教材》第28、29卷。经过时间验证，这套书的确是交换代数方面的经典教材。

书籍目录

CHAPTEE VI. VALUATION THEORY   1. Introductory remarks   2. Places   3. Specialization of places   4. Existence of places   5. The center of a place in a subring   5bis The notion of the center of a place in algebraic geometry   6. Places and field extensions   7. The case of an algebraic field extension   8. Valuations   9. Places and valuations   10. The rank of a valuation   11. Valuations and field extensions   12. Ramification theory of general valuations   13. Classical ideal theory and valuations   14. Prime divisors in fields of algebraic functions   15. Examples of valuations   16. An existence theorem for composite centered valuations   17. The abstract Riemann surface of a field   18. Derived normal modelsVII.POLYNOMIAL AND POWER SERIES RINGS  1.Formal power series  2.Graded rings and homogeneous ideals  3.Algebraic varieties in the affine  4.Algebraic varieties in the projective space  5.Relations betwwen non-homogeneous and homogeneous ideals  6.Relations betwwn affine and projective varieties  7.Dimentson theory in finte integral domaions  8.Special dimension-theoretic properties of polynomial rings  9.Normatlization theoremsCHapterVIII.LOCAL ALGEBRAAPPENDIXINDEX OF DEFINITIONS