The diophantine problem for addition and divisibility for subrings of rational functions over finite fields

Abstract It is shown that the positive existential theory of the structure ℱS = (S−1F[t];=,F, 0, 1,+, |, f ↦ tf), where f ↦ tf is the multiplication by t map, S is non-empty a finite set of irreducible polynomials, and F is a finite field of odd characteristic...

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Bibliographic Details
Main Authors: Cerda-Romero,Leonidas, Martínez-Ranero,Carlos
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300721
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