2 citations · 5 across the 11 of their papers we have counts for
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Strongly nilpotent automorphisms are Pascal finite
Elżbieta Adamus, Zbigniew Hajto
We compare two classes of polynomial automorphisms, strongly nilpotent and Pascal finite. We conclude that every strongly nilpotent automorphism is a Pascal finite one, but not vic…
A note on algorithmic approach to inverting multivariate formal power series
Elżbieta Adamus
In our previous paper an effective algorithm for inverting polynomial automorphisms was proposed. We extend its application to the case of formal power series over a field of arbit…
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…
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…