Epimorphism Surjectivity in Logic and Algebra
Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona. Curs: 2023-2024. Tutor: Luca Carai and Tommaso Moraschini
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| Formato: | tesis de maestría |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/214663 |
| Acesso em linha: | https://hdl.handle.net/2445/214663 |
| Access Level: | acceso abierto |
| Palavra-chave: | Lògica Àlgebra universal Categories (Matemàtica) Treballs de fi de màster Logic Universal algebra Categories (Mathematics) Master's thesis |
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Epimorphism Surjectivity in Logic and AlgebraKurtzhals, MiriamLògicaÀlgebra universalCategories (Matemàtica)Treballs de fi de màsterLogicUniversal algebraCategories (Mathematics)Master's thesisTreballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona. Curs: 2023-2024. Tutor: Luca Carai and Tommaso MoraschiniAs the theorems we aim to prove require a variety of tools and background theory, we will start by recalling some basics of first-order logic (Section 2.1), model theory (Section 2.2), and universal algebra (Section 2.3). We will then continue presenting the protagonist of this thesis, the epimorphism surjectivity property, and making some easy but useful observations concerning this property (Section 2.4). Finally, we will establish a correspondence between the (weak) ES property in algebra and the (finite) Beth definability property in logic, providing motivation for the study of the ES property from a logical standpoint (Section 2.5)Moraschini, TommasoCarai, Luca2024info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2445/214663Màster Oficial - Pure and Applied Logic / Lògica Pura i aplicadareponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaIngléscc by-nc-nd (c) Kurtzhals, 2024http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2146632026-05-27T06:46:51Z |
| dc.title.none.fl_str_mv |
Epimorphism Surjectivity in Logic and Algebra |
| title |
Epimorphism Surjectivity in Logic and Algebra |
| spellingShingle |
Epimorphism Surjectivity in Logic and Algebra Kurtzhals, Miriam Lògica Àlgebra universal Categories (Matemàtica) Treballs de fi de màster Logic Universal algebra Categories (Mathematics) Master's thesis |
| title_short |
Epimorphism Surjectivity in Logic and Algebra |
| title_full |
Epimorphism Surjectivity in Logic and Algebra |
| title_fullStr |
Epimorphism Surjectivity in Logic and Algebra |
| title_full_unstemmed |
Epimorphism Surjectivity in Logic and Algebra |
| title_sort |
Epimorphism Surjectivity in Logic and Algebra |
| dc.creator.none.fl_str_mv |
Kurtzhals, Miriam |
| author |
Kurtzhals, Miriam |
| author_facet |
Kurtzhals, Miriam |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Moraschini, Tommaso Carai, Luca |
| dc.subject.none.fl_str_mv |
Lògica Àlgebra universal Categories (Matemàtica) Treballs de fi de màster Logic Universal algebra Categories (Mathematics) Master's thesis |
| topic |
Lògica Àlgebra universal Categories (Matemàtica) Treballs de fi de màster Logic Universal algebra Categories (Mathematics) Master's thesis |
| description |
Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona. Curs: 2023-2024. Tutor: Luca Carai and Tommaso Moraschini |
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2024 |
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2024 |
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info:eu-repo/semantics/masterThesis |
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masterThesis |
| dc.identifier.none.fl_str_mv |
https://hdl.handle.net/2445/214663 |
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https://hdl.handle.net/2445/214663 |
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Inglés |
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Inglés |
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cc by-nc-nd (c) Kurtzhals, 2024 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess |
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cc by-nc-nd (c) Kurtzhals, 2024 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
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openAccess |
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application/pdf |
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Màster Oficial - Pure and Applied Logic / Lògica Pura i aplicada reponame:Dipòsit Digital de la UB instname:Universidad de Barcelona |
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Universidad de Barcelona |
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Dipòsit Digital de la UB |
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Dipòsit Digital de la UB |
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1869411791504670720 |
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15.812429 |