dc.creator | Jaiyeola, Temitope Gbolahan | |
dc.creator | David, S. P. | |
dc.creator | Oyebola, O. O. | |
dc.date | 2021-01-06 | |
dc.date.accessioned | 2021-01-29T12:45:34Z | |
dc.date.available | 2021-01-29T12:45:34Z | |
dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3694 | |
dc.identifier | 10.22199/issn.0717-6279-2021-01-0006 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/163971 | |
dc.description | A loop (Q, ·, \, /) is called a middle Bol loop (MBL) if it obeys the identity x(yz\x)=(x/z)(y\x). To every MBL corresponds a right Bol loop (RBL) and a left Bol loop (LBL). In this paper, some new algebraic properties of a middle Bol loop are established in a different style. Some new methods of constructing a MBL by using a non-abelian group, the holomorph of a right Bol loop and a ring are described. Some equivalent necessary and sufficient conditions for a right (left) Bol loop to be a middle Bol loop are established. A RBL (MBL, LBL, MBL) is shown to be a MBL (RBL, MBL, LBL) if and only if it is a Moufang loop. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad Católica del Norte. | en-US |
dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3694/3653 | |
dc.rights | Copyright (c) 2021 Temitope Gbolahan Jaiyeola, S. P. David, O. O. Oyebola | en-US |
dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
dc.source | Proyecciones (Antofagasta, On line); Vol. 40 No. 1 (2021); 85-106 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 40 Núm. 1 (2021); 85-106 | es-ES |
dc.source | 0717-6279 | |
dc.source | 10.22199/issn.0717-6279-2021-01 | |
dc.subject | Bol loops | en-US |
dc.subject | Middle Bol loops | en-US |
dc.subject | Moufang loops | en-US |
dc.subject | 20N02 | en-US |
dc.subject | 20N05 | en-US |
dc.title | New algebraic properties of middle Bol loops II | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Peer-reviewed Article | en-US |
dc.type | text | en-US |