Some Remarks on Polynomial Maps

被引：0
|
作者：
Yan, Dan [1 ]
Tang, Guoping [2 ]
机构：
[1] Hunan Normal Univ, Dept Math & Comp Sci, Changsha 410006, Hunan, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Jacobian conjecture; Polynomial automorphism; Semi-elementary; JACOBIAN CONJECTURE; MATRIX;
D O I：
10.1080/00927872.2015.1027350
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we first discuss the relations among JH(r)=0, JH(r-1<bold>)H</bold>=0, and JH(r<bold>)x</bold>=0. Then we give a counterexample to the question mentioned in the Remarks of [3] and prove the equivalence among JH(x((1)))JH(x((2)))...JH(x((r)))=0, JH(x((1)))JH(x((2)))...JH(x((r-1)))<bold>H</bold>(x((r)))=0, and JH(x((1)))JH(x((2)))...JH(x((r)))<bold>x(</bold>(r))=0. Finally, we give partial answer to Conjecture 2 in [4].
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页码：1379 / 1389
页数：11
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