Attacking Jacobian Problem Using Resultant Theory

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Shawki Al-Rashed

Abstract

     This paper introduces a relation between resultant and the Jacobian determinant
by generalizing Sakkalis theorem from two polynomials in two variables to the case of (n) polynomials in (n) variables. This leads us to study the results of the type:  ,            and use this relation to attack the Jacobian problem. The last section shows our contribution to proving the conjecture.

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1.
Jony A, Al-Rashed S. Attacking Jacobian Problem Using Resultant Theory. Baghdad Sci.J [Internet]. [cited 2021Dec.4];19(2):0336. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5541
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