Ternary derivations of triangular algebras
| dc.contributor.advisor | Sanchez-Ortega, Juana | |
| dc.contributor.author | Vandeyar, Morgan | |
| dc.date.accessioned | 2022-03-17T05:07:06Z | |
| dc.date.available | 2022-03-17T05:07:06Z | |
| dc.date.issued | 2021 | |
| dc.date.updated | 2022-03-17T05:06:37Z | |
| dc.description.abstract | Ternary derivations extend the concept of derivations to triples of linear maps. In this thesis, we describe ternary derivations of triangular algebras. We use category theory to approach our study of ternary derivations, while also offering some straightforward computational proofs. Furthermore, we investigate some related maps, called ternary automorphisms and generalised derivations, an intermediary between derivations and ternary derivations. Finally, we suggest areas for further research into different flavours of ternary derivations, such as ternary Lie and Jordan derivations. | |
| dc.identifier.apacitation | Vandeyar, M. (2021). <i>Ternary derivations of triangular algebras</i>. (). ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/36152 | en_ZA |
| dc.identifier.chicagocitation | Vandeyar, Morgan. <i>"Ternary derivations of triangular algebras."</i> ., ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2021. http://hdl.handle.net/11427/36152 | en_ZA |
| dc.identifier.citation | Vandeyar, M. 2021. Ternary derivations of triangular algebras. . ,Faculty of Science ,Department of Mathematics and Applied Mathematics. http://hdl.handle.net/11427/36152 | en_ZA |
| dc.identifier.ris | TY - Master Thesis AU - Vandeyar, Morgan AB - Ternary derivations extend the concept of derivations to triples of linear maps. In this thesis, we describe ternary derivations of triangular algebras. We use category theory to approach our study of ternary derivations, while also offering some straightforward computational proofs. Furthermore, we investigate some related maps, called ternary automorphisms and generalised derivations, an intermediary between derivations and ternary derivations. Finally, we suggest areas for further research into different flavours of ternary derivations, such as ternary Lie and Jordan derivations. DA - 2021 DB - OpenUCT DP - University of Cape Town KW - Applied Mathematics LK - https://open.uct.ac.za PY - 2021 T1 - Ternary derivations of triangular algebras TI - Ternary derivations of triangular algebras UR - http://hdl.handle.net/11427/36152 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/36152 | |
| dc.identifier.vancouvercitation | Vandeyar M. Ternary derivations of triangular algebras. []. ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2021 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/36152 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | Department of Mathematics and Applied Mathematics | |
| dc.publisher.faculty | Faculty of Science | |
| dc.subject | Applied Mathematics | |
| dc.title | Ternary derivations of triangular algebras | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationlevel | MSc |