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

DOI10.22199/issn.0717-6279-2020-03-0045zbMath1489.11206OpenAlexW3033298630MaRDI QIDQ5145915

Leonidas Cerda-Romero, Carlos Azarel Martínez-Ranero

Publication date: 22 January 2021

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2020-03-0045

zbMATH Keywords

finite field of odd characteristicpositive-existential definability

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05)

Related Items (2)

Existential decidability for addition and divisibility in holomorphy subrings of global fields ⋮ Fractal mathematical over extended finite fields Fp[x/(f(x))]

Cites Work

• Decidability of the universal theory of natural numbers with addition and divisibility
• On Artin's conjecture and Euclid's algorithm in global fields
• Undecidable Existential Problems for Addition and Divisibility in Algebraic Number Rings. II
• The Diophantine Problem for Addition and Divisibility
• Undecidable Existential Problems for Addition and Divisibility in Algebraic Number Rings
• Diophantine undecidability for addition and divisibility in polynomial rings
• THE DIOPHANTINE PROBLEM FOR ADDITION AND DIVISIBILITY OVER SUBRINGS OF THE RATIONALS
• Definability and decision problems in arithmetic

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