| dc.contributor.author | Johnson, Kenneth Walter | |
| dc.contributor.author | Munywoki, Michael | |
| dc.contributor.author | Smith, Jonathan DH | |
| dc.date.accessioned | 2024-02-20T09:51:18Z | |
| dc.date.available | 2024-02-20T09:51:18Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Johnson, K. W., Munywoki, M., & Smith, J. D. (2014). The upper triangular algebra loop of degree $4$. Commentationes Mathematicae Universitatis Carolinae, 55(4), 457-470. | en_US |
| dc.identifier.uri | http://ir.tum.ac.ke/handle/123456789/17417 | |
| dc.description | http://dml.cz/dmlcz/143970 | en_US |
| dc.description.abstract | A natural loop structure is defined on the set $U_4$ of unimodular upper-triangular matrices over a given field. Inner mappings of the loop are computed. It is shown that the loop is non-associative and nilpotent, of class 3. A detailed listing of the loop conjugacy classes is presented. In particular, one of the loop conjugacy classes is shown to be properly contained in a superclass of the corresponding algebra group. | en_US |
| dc.description.sponsorship | TECHNICAL UNIVERSITY OF MOMBASA | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Charles University in Prague, Faculty of Mathematics and Physics | en_US |
| dc.subject | algebra group | en_US |
| dc.subject | quasigroup | en_US |
| dc.subject | loop | en_US |
| dc.subject | supercharacter | en_US |
| dc.subject | fusion scheme | en_US |
| dc.title | The upper triangular algebra loop of degree 4 | en_US |
| dc.type | Article | en_US |
