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arXiv · 1912.07141

On Holomorphy of Fenyves BCI-Algebras

Emmanuel Ilojide·Temitope Gbolahan Jaiyeola·Memudu Olaposi Olatinwo
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Abstract

Fenyves BCI-algebras are BCI-algebras that satisfy the Bol-Moufang identities. In this paper, the holomorphy of BCI-algebras are studied. It is shown that whenever a loop and its holomorph are BCI-algebras, the former is p-semisimple if and only if the latter is p-semisimple. Whenever a loop and its holomorph are BCI-algebras, it is established that the former is a BCK-algebra if and only if the latter has a BCK-subalgebra. Moreover, the holomorphy of the associative and some non-associative Fenyves BCI-algebras are also studied.

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Emmanuel Ilojide, Temitope Gbolahan Jaiyeola, Memudu Olaposi Olatinwo. 2019-12-16. On Holomorphy of Fenyves BCI-Algebras. https://arxiv.org/abs/1912.07141

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