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.

引用

页码：73 / 82

页数：10

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