A counterexample to Hilbert's Fourteenth Problem in dimension 5

被引：53

作者：

Daigle, D ^{[1
]}

Freudenburg, G

机构：

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

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

来源：

JOURNAL OF ALGEBRA | 1999年 / 221卷 / 02期

关键词：

D O I：

10.1006/jabr.1999.7987

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The kernel of a certain triangular derivation of the polynomial ring k[x(1), x(2), x(3), x(4), x(5)] is shown to be non-finitely generated over k (a field of characteristic zero), thus giving a new counterexample to Hilbert's Fourteenth Problem, in the lowest dimension to date. (C) 1999 Academic Press.

引用

页码：528 / 535

页数：8

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