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Two dimensional coordinate polynomials and dominant maps

 

作者: L. Andrew Campbell,   Jie-Tai Yu,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 5  

页码: 2297-2301

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826960

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Jacobian conjecture;polynomial;coordinate;dominant map

 

数据来源: Taylor

 

摘要:

A polynomial in n variables is called a coordinate polynomial if it is a component of a polynomial automorphism ofn-space. Forn=2 and a ground field of characteristic zero, we show that a polynomial is a coordinate polynomial if its composition with a dominant endomorphism of 2-space is a coordinate polynomial.

 

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