Exponential maps of a polynomial ring in two variables

被引：0
|
作者：
Anthony J. Crachiola
Leonid G. Makar-Limanov
机构：
[1] Saginaw Valley State University,Department of Mathematical Sciences
[2] Wayne State University,Department of Mathematics
[3] Weizmann Institute of Science,Faculty of Mathematics and Computer Science
来源：
São Paulo Journal of Mathematical Sciences | 2019年 / 13卷
关键词：
Exponential map; Polynomial ring; Locally finite iterative higher derivation; Rentschler–Miyanishi theorem; Jung–van der Kulk theorem; Primary 14R10; Secondary 13A50; 14R20;
D O I：
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中图分类号：
学科分类号：
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：9
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