交換代數(第2卷)

交換代數(第2卷)

图书基本信息
出版时间:2000-12
出版社:北京世圖
作者:[]OscarZariski,
页数:414
书名:交換代數(第2卷)
封面图片
交換代數(第2卷)

内容概要
這套兩卷集教材由哈佛大學著名數學家O.Zariski和法國數學家P.Samuel共同撰寫,1958年由Nostrand出版公司出版,後來被譯成俄、法等多種版本。1973年被納Springer出版社的《數學研究生教材》第28、29卷。經過時間驗證,這套書的確是交換代數方面的經典教材。
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



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