Exponential maps of a polynomial ring in two variables

被引：3
|
作者：
Crachiola, Anthony J. [1 ]
Makar-Limanov, Leonid G. [2 ,3 ]
机构：
[1] Saginaw Valley State Univ, Dept Math Sci, 7400 Bay Rd, University Ctr, MI 48710 USA
[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
[3] Weizmann Inst Sci, Fac Math & Comp Sci, IL-7610001 Rehovot, Israel
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2019年 / 13卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Exponential map; Polynomial ring; Locally finite iterative higher derivation; Rentschler-Miyanishi theorem; Jung-van der Kulk theorem;
D O I：
10.1007/s40863-019-00124-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let k be a field. We show that the ring of invariants of every exponential map on k[x,y] is generated by the image of x or y under a composition of triangular automorphisms. From this we obtain two well-known theorems on k[x,y] with no restriction on the characteristic of k: the Rentschler-Miyanishi theorem and the Jung-van der Kulk theorem.
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页码：73 / 82
页数：10
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