Holomorph of generalized Bol loops II
| Autor: | Jaíyéolá, Tèmít\dóp\dé Gbóláhàn, Popoola, B. A. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Discussiones Mathematicae General Algebra and Applications 35 (2015) 59-78 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.7151/dmgaa.1234 |
| Popis: | The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the loop are right (middle) regular. The holomorph of a RIPL is shown to be a GBL if and only if the loop is a GBL and some elements of the loop are right (middle) nuclear. Necessary and sufficient condition for the holomorph of a RIPL to be a Bol loop are deduced. Some algebraic properties and commutative diagrams are established for a RIPL whose holomorph is a GBL. Comment: 18 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1501.04620 |
| Databáze: | arXiv |
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