| 关于仿射代数簇坐标环的同调维数与krull维数的一个注记 |
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| 引用本文： | 殷久梅,蒋志芳.关于仿射代数簇坐标环的同调维数与krull维数的一个注记[J].南京师大学报,2000,23(4):35-36,41. |
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| 作者姓名： | 殷久梅 蒋志芳 |
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| 作者单位： | [1]南京大学数学系，南京210093 [2]南京审计学院基础部，南京210029 |
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| 摘 要： | 给出了光滑仿射代数簇坐标环R的同调维数与Krull维数之间的关系，即gd(R)=K.dim(R)。
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| 关 键 词： | 仿射代数簇 坐标环 同调维数 Krull维数 |
A Note on Krull Dimensions and Homological Dimensions of Coordinate Rings of Affine Algebraic Varieties |
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| YIN Jiu-mei,JIANG Zi-fang.A Note on Krull Dimensions and Homological Dimensions of Coordinate Rings of Affine Algebraic Varieties[J].Journal of Nanjing Normal University(Natural Science Edition),2000,23(4):35-36,41. |
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| Authors: | YIN Jiu-mei JIANG Zi-fang |
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| Abstract: | In this paper,It is obtained that gd(R)= K.dim (R) ,that is a result about the relation between the Krull dimension and the homological dimension of coordinate ring R of an affine nonsingular variety. |
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| Keywords: | affine algebraic variety coordinate ring homological dimension krull dimension@ |
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