2 citations · 4 across the 6 of their papers we have counts for
6 papers
Algorithm for studying polynomial maps and reductions modulo prime number
Elżbieta Adamus, Paweł Bogdan
In our previous paper an effective algorithm for inverting polynomial automorphisms was proposed. Also the class of Pascal finite polynomial automorphisms was introduced. Pascal fi…
On some nice polynomial automorphisms
Elzbieta Adamus, Pawel Bogdan, Teresa Crespo +1
Given a polynomial endomorphism F of the n-dimensional affine space over a field K, we define a sequence of polynomial endomorphisms of the affine space associated to F. We call F…
A new characterization of the invertibility of polynomial maps
Elzbieta Adamus, Pawel Bogdan, Teresa Crespo +1
In this paper we present an equivalent statement to the Jacobian conjecture. For a polynomial map F on an affine space of dimension n, we define recursively n finite sequences of p…
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…