The diophantine problem for addition and divisibility for subrings of rational functions over finite fields
The diophantine problem for addition and divisibility for subrings of rational functions over finite fields
| dc.creator | Cerda-Romero, Leonidas Antonio | |
| dc.creator | Martínez-Ranero, Carlos | |
| dc.date | 2020-06-03 | |
| dc.date.accessioned | 2020-07-13T16:27:05Z | |
| dc.date.available | 2020-07-13T16:27:05Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3666 | |
| dc.identifier | 10.22199/issn.0717-6279-2020-03-0045 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/140506 | |
| dc.description | It is shown that the positive existential theory of the structure ?S = (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, is undecidable. | en-US |
| dc.description | It is shown that the positive existential theory of the structure ?S = (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, is undecidable. | es-ES |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3666/3426 | |
| dc.rights | Copyright (c) 2020 Leonidas Antonio Cerda-Romero, Carlos Martínez-Ranero | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 39 No. 3 (2020); 721-735 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 39 Núm. 3 (2020); 721-735 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2020-03 | |
| dc.subject | Positive-existential definability | en-US |
| dc.subject | Finite field of odd characteristic | en-US |
| dc.subject | 11U05 | en-US |
| dc.subject | Decidability (number-theoretic aspects) | en-US |
| dc.title | The diophantine problem for addition and divisibility for subrings of rational functions over finite fields | en-US |
| dc.title | The diophantine problem for addition and divisibility for subrings of rational functions over finite fields | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
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Proyecciones: Journal of Mathematics
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