Automorphic orbit problem for polynomial algebras

被引：7
|
作者：
Yu, He-Tai [1 ]
机构：
[1] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2008年 / 319卷 / 03期
关键词：
automorphic orbits; test polynomials; retracts; retraction; coordinates; polynomial algebras; outer rank;
D O I：
10.1016/j.jalgebra.2007.03.033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that every endomorphism preserving the automorphic orbit of a non-trivial element of the rank two polynomial algebra over the complex number field is an automorphism. (c) 2007 Elsevier Inc. All rights reserved.
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页码：966 / 970
页数：5
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