Endomorphisms of the plane sending

linear coordinates to coordinates

Authors:
Charles Ching-An Cheng and Arno van den Essen

Journal:
Proc. Amer. Math. Soc. **128** (2000), 1911-1915

MSC (1991):
Primary 13B25, 13F20, 14E09, 16W20

DOI:
https://doi.org/10.1090/S0002-9939-00-05236-9

Published electronically:
February 25, 2000

MathSciNet review:
1653437

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let be a field of characteristic zero. We show that an endomorphism of which sends each linear coordinate to a coordinate is an automorphism of .

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Additional Information

**Charles Ching-An Cheng**

Affiliation:
Department of Mathematics, Oakland University, Rochester, Michigan 48309

Email:
cheng@oakland.edu

**Arno van den Essen**

Affiliation:
Department of Mathematics, University of Nijmegen, Nijmegen, The Netherlands

Email:
essen@sci.kun.nl

DOI:
https://doi.org/10.1090/S0002-9939-00-05236-9

Keywords:
Jacobian conjecture,
automorphism,
endomorphism,
derivation,
algebraically closed field,
coordinate

Received by editor(s):
December 12, 1997

Received by editor(s) in revised form:
September 1, 1998

Published electronically:
February 25, 2000

Communicated by:
Wolmer V. Vasconcelos

Article copyright:
© Copyright 2000
American Mathematical Society