Algebraic functions in quasiprimal algebras
Artículo finalmente aceptado y publicado en: Algebraic functions in quasiprimal algebras; Wiley VCH Verlag; Mathematical Logic Quarterly; 60; 3; 4-2014; 154-160. ISSN 0942-5616
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| Format: | submittedVersion |
| Language: | eng |
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2022
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| Online Access: | http://hdl.handle.net/11086/29687 |
| _version_ | 1801212816799039488 |
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| author | Campercholi, Miguel Vaggione, Diego |
| author_facet | Campercholi, Miguel Vaggione, Diego |
| author_sort | Campercholi, Miguel |
| collection | Repositorio Digital Universitario |
| description | Artículo finalmente aceptado y publicado en: Algebraic functions in quasiprimal algebras; Wiley VCH Verlag; Mathematical Logic Quarterly; 60; 3; 4-2014; 154-160. ISSN 0942-5616 |
| format | submittedVersion |
| id | rdu-unc.29687 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.296872022-11-16T05:04:50Z Algebraic functions in quasiprimal algebras Campercholi, Miguel Vaggione, Diego Algebraic function Quasiprimal algebra Discriminator Definability Artículo finalmente aceptado y publicado en: Algebraic functions in quasiprimal algebras; Wiley VCH Verlag; Mathematical Logic Quarterly; 60; 3; 4-2014; 154-160. ISSN 0942-5616 submittedVersion Fil: Vaggione, Diego. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Campercholi, Miguel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. A function is algebraic on an algebra A if it can be implicitly defined by a system of equations on A. In this note we give a semantic characterization for algebraic functions on quasiprimal algebras. This characterization is applied to obtain necessary and sufficient conditions for a quasiprimal algebra A to have every one of its algebraic functions be a term function. We also apply our results to particular algebras such as finite fields and monadic algebras. submittedVersion Fil: Vaggione, Diego. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Campercholi, Miguel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Matemática Pura 2022-11-15T20:15:23Z 2022-11-15T20:15:23Z 2014 article http://hdl.handle.net/11086/29687 eng Versión publicada: https://doi.org/10.1002/malq.201200060 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| spellingShingle | Algebraic function Quasiprimal algebra Discriminator Definability Campercholi, Miguel Vaggione, Diego Algebraic functions in quasiprimal algebras |
| title | Algebraic functions in quasiprimal algebras |
| title_full | Algebraic functions in quasiprimal algebras |
| title_fullStr | Algebraic functions in quasiprimal algebras |
| title_full_unstemmed | Algebraic functions in quasiprimal algebras |
| title_short | Algebraic functions in quasiprimal algebras |
| title_sort | algebraic functions in quasiprimal algebras |
| topic | Algebraic function Quasiprimal algebra Discriminator Definability |
| url | http://hdl.handle.net/11086/29687 |
| work_keys_str_mv | AT campercholimiguel algebraicfunctionsinquasiprimalalgebras AT vaggionediego algebraicfunctionsinquasiprimalalgebras |