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dc.creatorJaiyeola, Temitope Gbolahan
dc.creatorDavid, S. P.
dc.creatorOyebola, O. O.
dc.date2021-01-06
dc.date.accessioned2021-01-29T12:45:34Z
dc.date.available2021-01-29T12:45:34Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3694
dc.identifier10.22199/issn.0717-6279-2021-01-0006
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/163971
dc.descriptionA 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.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3694/3653
dc.rightsCopyright (c) 2021 Temitope Gbolahan Jaiyeola, S. P. David, O. O. Oyebolaen-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 40 No. 1 (2021); 85-106en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 40 Núm. 1 (2021); 85-106es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2021-01
dc.subjectBol loopsen-US
dc.subjectMiddle Bol loopsen-US
dc.subjectMoufang loopsen-US
dc.subject20N02en-US
dc.subject20N05en-US
dc.titleNew algebraic properties of middle Bol loops IIen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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