| dc.contributor.author | K.W. Johnson | |
| dc.contributor.author | Munywoki, Michael, M. | |
| dc.contributor.author | Smith, Jonathan D.H | |
| dc.date.accessioned | 2022-09-23T06:25:06Z | |
| dc.date.available | 2022-09-23T06:25:06Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Johnson, Kenneth Walter, Munywoki, M., and Smith, Jonathan D. H.. "The upper triangular algebra loop of degree $4$." Commentationes Mathematicae Universitatis Carolinae 55.4 (2014): 457-470. <http://eudml.org/doc/262023>. | en_US |
| dc.identifier.issn | 0010-2628 | |
| dc.identifier.uri | https://ir.tum.ac.ke/handle/123456789/17487 | |
| dc.description.abstract | A natural loop structure is defined on the set U4 of unimodular uppertriangular 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 | Commentationes Mathematicae Universitatis Carolinae | en_US |
| dc.subject | Algebra group | en_US |
| dc.subject | Quasigroup | en_US |
| dc.subject | Supercharacter; | en_US |
| dc.subject | Fusion scheme | en_US |
| dc.subject | Loop | en_US |
| dc.title | The upper triangular algebra loop of degree 4 | en_US |
| dc.type | Article | en_US |
