most citedAn effective approach to Picard-Vessiot theory and the Jacobian Conjecture

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math.AC2015★ 2 cited

An effective approach to Picard-Vessiot theory and the Jacobian Conjecture

Elzbieta Adamus, Pawel Bogdan, Zbigniew Hajto

In this paper we present a theorem concerning an equivalent statement of the Jacobian Conjecture in terms of Picard-Vessiot extensions. Our theorem completes the earlier work of T.…

math.AC2015★ 1 cited

An inversion algorithm for polynomial maps

Elzbieta Adamus, Pawel Bogdan, Teresa Crespo +1

We present an algorithmic equivalent statement to the Jacobian conjecture. Given a polynomial map F on an affine space of dimension n, our algorithm constructs n sequences of polyn…