2 citations · 4 across the 6 of their papers we have counts for
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Jacobian Conjecture and Nilpotency
Elzbieta Adamus, Pawel Bogdan, Teresa Crespo +1
For K a field of characteristic 0 and d any integer number greater than or equal to 2, we prove the invertibility of polynomial endomorphisms of the affine space of dimension d ove…
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.…
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…