Triangular Derivations of k[ X 1, X 2, X 3, X 4]

Triangular Derivations of k[ X 1, X 2, X 3, X 4]
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k[ X 1, X 2, X 3, X 4] 的三角导数

DOI:
10.2307/2372927
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发表时间:
2001
期刊:
影响因子:
0.9
通讯作者:
G. Freudenburg
G. Freudenburg
中科院分区:
数学3区
文献类型:
--
作者:
D. Daigle;G. Freudenburg

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对于特征为零的域k,并且对于每个整数n > 4,我们构造k[X1,X2,X3,X4]的三角导子,其常数环虽然在k上生成,但不能由少于n个元素生成。
For a field k of characteristic zero, and for each integer n > 4, we construct a triangular derivation of k[Xl, X2, X3, X4] whose ring of constants, though finitely generated over k, cannot be generated by fewer than n elements.