Fractal mathematical over extended finite fields Fp [x]/(f (x))

CE Sandoval-Ruiz - Proyecciones (Antofagasta), 2021 - SciELO Chile
Untitled Page 1 Page 2 734 Cecilia E. Sandoval-Ruiz 1. Introduction The theory of field
extensions was developed by Galois [1, 2, 3, 4]. The number of elements of a finite field, also …

Existential decidability for addition and divisibility in holomorphy subrings of global fields

C Martinez-Ranero, J Utreras, X Vidaux - Journal of Number Theory, 2022 - Elsevier
We investigate the problem of deciding whether a system of linear equations, together with
divisibility conditions on the variables, has a solution over holomorphy subrings of global …

Decidability of addition and Frobenius map for polynomials and rational functions

D Chompitaki, M Kamarianakis, T Pheidas - Reports on Mathematical …, 2022 - ceeol.com
Let pbe a prime number, Fp a finite field with pelements, Fan algebraic extension of Fp and
za variable. We consider the structure of addition and the Frobenius map (ie, x→ xp) in the …