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Polynomial remainders and plane automorphisms

Published online by Cambridge University Press:  17 April 2009

Takis Sakkalis
Takis Sakkalis
Affiliation:
Department of Mathematics, Agricultural University of Athens, Athens 118 55, Greece e-mail: [email protected]
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Abstract

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This note relates polynomial remainders with polynomial automorphisms of the plane. It also formulates a conjecture, equivalent to the famous Jacobian Conjecture. The latter provides an algorithm for checking when a polynomial map is an automorphism. In addition, a criterion is presented for a real polynomial map to be bijective.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 73 - 79
Copyright
Copyright © Australian Mathematical Society 2003

References

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