ON HOLOMORPHY OF FENYVES BCI-ALGEBRAS

Authors

  • E. ILOJIDE DEPARTMENT OF MATHEMATICS, FEDERAL UNIVERSITY OF AGRICULTURE, ABEOKUTA
  • T. G. JAIYEOLA DEPARTMENT OF MATHEMATICS, OBAFEMI AWOLOWO UNIVERSITY, ILE-IFE,
  • M. O. OLATINWO DEPARTMENT OF MATHEMATICS, OBAFEMI AWOLOWO UNIVERSITY, ILE-IFE,

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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R. H. Bruck and L. J. Paige (1956), Loops whose

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Published

2019-09-20

How to Cite

ILOJIDE, E., JAIYEOLA, T. G., & OLATINWO, M. O. (2019). ON HOLOMORPHY OF FENYVES BCI-ALGEBRAS. 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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