| On the Computation of Noether Normalization |
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| 引用本文： | 朱烨,张江峰. On the Computation of Noether Normalization[J]. 上海交通大学学报(英文版), 2004, 9(2): 77-81 |
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| 作者姓名： | 朱烨 张江峰 |
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| 作者单位： | [1]SouthwestInst.ofPhysics,PostalBox432,Chengdu610041,China [2]Dept.ofMathematics,ShanghaiJiaotongUniv.,Shanghai200240,China |
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| 摘 要： | This paper considered the Noether normalization of a finitely generated algebra over an algebraically closed field. It gives a necessary and sufficient condition as well as an algorithm for the identification of those algebraically independent variables, then uses these elements to construct the Noether normalization of this algebra.
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| 关 键 词： | 最大无关变量 Noether标准化 代数几何学 计算数学 |
On the Computation of Noether Normalization |
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| ZHU Ye,ZHANG Jiang-feng. On the Computation of Noether Normalization[J]. Journal of Shanghai Jiaotong university, 2004, 9(2): 77-81 |
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| Authors: | ZHU Ye ZHANG Jiang-feng |
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| Affiliation: | Southwest Inst.of Physics, Postal Box 432, Chengdu 610041, China;Dept.of Mathematics, Shanghai Jiaotong Univ., Shanghai 200240, China |
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| Abstract: | This paper considered the Noether normalization of a finitely generated algebra over an algebraically closed field. It gives a necessary and sufficient condition as well as an algorithm for the identification of those algebraically independent variables, then uses these elements to construct the Noether normalization of this algebra. |
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| Keywords: | Noether normalization maximally independent variables Groebner basis |
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