# ON HOLOMORPHY OF FENYVES BCI-ALGEBRAS

## 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.## References

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class of left Bol loops, Al.I.Cuza 51, 1, 23-28.

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certain isotopic maps of central loops, Proyecciones Journal of Mathematics. 30(3), 303--318.

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## Published

2019-09-20

## How to Cite

*Journal of the Nigerian Mathematical Society*,

*38*(2), 139–155. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/469

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## Section

Articles