2 citations · 8 across the 8 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…
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…
The unicity of real Picard-Vessiot fields
Teresa Crespo, Zbigniew Hajto, Marius van der Put
The unicity of real Picard-Vessiot fields for differential modules over a real differential field is proved.