2 citations · 6 across the 4 of their papers we have counts for
7 papers
Automatic realization of Hopf Galois structures
Teresa Crespo
We consider Hopf Galois structures on a separable field extension of degree , for an odd prime number, . For , we prove that has at most one ab…
Hopf Galois structures on extensions of degree twice an odd prime square and their associated left braces
Teresa Crespo
We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime square and classify the corresponding left braces. Besides we determine the separab…
Computation of Hopf Galois structures on separable extensions and classification of those for degree twice an odd prime power
Teresa Crespo, Marta Salguero
A Hopf Galois structure on a finite field extension is a pair , where is a finite cocommutative -Hopf algebra and a Hopf action. In this paper we present a…
Jacobian Conjecture via Differential Galois Theory
Elzbieta Adamus, Teresa Crespo, Zbigniew Hajto
We prove that a polynomial map is invertible if and only if some associated differential ring homomorphism is bijective. To this end, we use a theorem of Crespo and Hajto linking 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.