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Ternary derivations of triangular algebras
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...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2022
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| _version_ | 1867613218605629440 |
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| access_status_str | Open Access |
| author | Vandeyar, Morgan |
| author2 | Sanchez-Ortega, Juana |
| author_browse | Sanchez-Ortega, Juana Vandeyar, Morgan |
| author_facet | Sanchez-Ortega, Juana Vandeyar, Morgan |
| author_sort | Vandeyar, Morgan |
| collection | Thesis |
| description | 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. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/36152 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:39.476Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/36152 Ternary derivations of triangular algebras Vandeyar, Morgan Sanchez-Ortega, Juana Applied Mathematics 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. 2022-03-17T05:07:06Z 2022-03-17T05:07:06Z 2021 2022-03-17T05:06:37Z Master Thesis Masters MSc http://hdl.handle.net/11427/36152 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | Applied Mathematics Vandeyar, Morgan Ternary derivations of triangular algebras |
| thesis_degree_str | Master's |
| title | Ternary derivations of triangular algebras |
| title_full | Ternary derivations of triangular algebras |
| title_fullStr | Ternary derivations of triangular algebras |
| title_full_unstemmed | Ternary derivations of triangular algebras |
| title_short | Ternary derivations of triangular algebras |
| title_sort | ternary derivations of triangular algebras |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/36152 |
| work_keys_str_mv | AT vandeyarmorgan ternaryderivationsoftriangularalgebras |