11 citations · 11 across the 5 of their papers we have counts for
5 papers
Computation of unirational fields (extended abstract)
Jaime Gutierrez, David Sevilla
In this paper we present an algorithm for computing all algebraic intermediate subfields in a separably generated unirational field extension (which in particular includes the zero…
Building counterexamples to generalizations for rational functions of Ritt's decomposition theorem
Jaime Gutierrez, David Sevilla
The classical Ritt's Theorems state several properties of univariate polynomial decomposition. In this paper we present new counterexamples to Ritt's first theorem, which states th…
Computation of unirational fields
Jaime Gutierrez, David Sevilla
One of the main contributions which Volker Weispfenning made to mathematics is related to Groebner bases theory. In this paper we present an algorithm for computing all algebraic i…
On decomposition of tame polynomials and rational functions
Jaime Gutierrez, David Sevilla
In this paper we present algorithmic considerations and theoretical results about the relation between the orders of certain groups associated to the components of a polynomial and…
On Ritt's decomposition Theorem in the case of finite fields
Jaime Gutierrez, David Sevilla
A classical theorem by Ritt states that all the complete decomposition chains of a univariate polynomial satisfying a certain tameness condition have the same length. In this paper…