The Picard-Vessiot antiderivative closure

被引：5
|
作者：
Magid, AR
机构：
[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA
[2] Technion Israel Inst Technol, IL-32000 Haifa, Israel
来源：
JOURNAL OF ALGEBRA | 2001年 / 244卷 / 01期
关键词：
D O I：
10.1006/jabr.2001.8876
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
F is a differential field of characteristic zero with algebraically closed field of constants C. A Picard-Vessiot antiderivative closure of F is a differential field extension E superset of F which is a union of Picard-Vessiot extensions of F, each obtained by iterated adjunction of antiderivatives, and such that every such Picard-Vessiot extension of F has an isomorphic copy in E. The group G of differential automorphisms of E over F is shown to be prounipotent. When C is the complex numbers and F = C(t) the rational functions in one variable, G is shown to be free prounipotent. (C) 2001 Academic Press.
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页码：1 / 18
页数：18
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