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 conditions 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1234,
author = {Temitope Gbolahan Jaiyeiola and Bolaji Ajibola Popoola},
title = {Holomorph of generalized Bol loops II},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {35},
year = {2015},
pages = {59-78},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1234}
}
Tèmítọ́pẹ́ Gbọ́láhàn Jaíyéiọlá; Bolaji Ajibola Popoola. Holomorph of generalized Bol loops II. Discussiones Mathematicae - General Algebra and Applications, Tome 35 (2015) pp. 59-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1234/
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