A note on triangular derivations of k[X1;X2;X3;X4]

被引：9

作者：

Daigle, D ^{[1
]}

Freudenburg, G

机构：

[1] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

[2] Univ So Indiana, Dept Math, Evansville, IN 47712 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 03期

关键词：

derivations; Hilbert fourteenth problem; additive group actions; invariants;

D O I：

10.1090/S0002-9939-00-05558-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a field k of characteristic zero, and for each integer n greater than or equal to 4, we construct a triangular derivation of k[X-1,X-2,X-3,X-4] whose ring of constants, though finitely generated over k, cannot be generated by fewer than n elements.

引用

页码：657 / 662

页数：6