Fractoids
| dc.contributor.advisor | Janelidze, George | |
| dc.contributor.author | Brey, Khadija | |
| dc.date.accessioned | 2023-03-02T07:37:59Z | |
| dc.date.available | 2023-03-02T07:37:59Z | |
| dc.date.issued | 2022 | |
| dc.date.updated | 2023-02-20T12:19:54Z | |
| dc.description.abstract | This dissertation will examine the properties of the algebraic structure herein named the fractoid. This structure will be defined and its properties closely examined. In this dissertation we will first provide context for this structure, by looking at both category theory and universal algebra. We present some first basic concepts of category theory and consider F-algebras (= algebras over an endofunctor F). We will then look at algebras in the sense of universal algebra. We will examine F-algebras and their properties in this context and compare them to the definitions used in some of the standard textbooks in universal algebra. Once fractoids are defined and examined, they will be compared to a similar existing algebraic structure, the wheel. | |
| dc.identifier.apacitation | Brey, K. (2022). <i>Fractoids</i>. (). ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/37095 | en_ZA |
| dc.identifier.chicagocitation | Brey, Khadija. <i>"Fractoids."</i> ., ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2022. http://hdl.handle.net/11427/37095 | en_ZA |
| dc.identifier.citation | Brey, K. 2022. Fractoids. . ,Faculty of Science ,Department of Mathematics and Applied Mathematics. http://hdl.handle.net/11427/37095 | en_ZA |
| dc.identifier.ris | TY - Master Thesis AU - Brey, Khadija AB - This dissertation will examine the properties of the algebraic structure herein named the fractoid. This structure will be defined and its properties closely examined. In this dissertation we will first provide context for this structure, by looking at both category theory and universal algebra. We present some first basic concepts of category theory and consider F-algebras (= algebras over an endofunctor F). We will then look at algebras in the sense of universal algebra. We will examine F-algebras and their properties in this context and compare them to the definitions used in some of the standard textbooks in universal algebra. Once fractoids are defined and examined, they will be compared to a similar existing algebraic structure, the wheel. DA - 2022_ DB - OpenUCT DP - University of Cape Town KW - Mathematics and Applied Mathematics LK - https://open.uct.ac.za PY - 2022 T1 - Fractoids TI - Fractoids UR - http://hdl.handle.net/11427/37095 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/37095 | |
| dc.identifier.vancouvercitation | Brey K. Fractoids. []. ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2022 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/37095 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | Department of Mathematics and Applied Mathematics | |
| dc.publisher.faculty | Faculty of Science | |
| dc.subject | Mathematics and Applied Mathematics | |
| dc.title | Fractoids | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationlevel | MSc |