On Generalized Left Derivations in BCI-Algebras

Authors

G. Muhiuddin, Department of Mathematics, University of Tabuk, P. O. Box 741, Tabuk 71491, Saudi ArabiaFollow
A. M. Al-roqi

Author Country (or Countries)

Saudi Arabia

Abstract

In the present paper, we introduce the notion of generalized left derivation of a BCI-algebra X, construct several examples, and investigate related properties. Also establish some results on regular generalized left derivation. Furthermore, for a generalized left derivation H, the concept of a H-invariant generalized left derivation is introduced, and examples are discussed. Using this concept a condition for a generalized left derivation to be regular is provided. Finally, some results on p-semisimple BCI-algebra are obtained and it is shown that let H be a self map in a p-semisimple BCI-algebra X. Then H is a generalized left derivation if and only if it is a derivation on X.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080326

Recommended Citation

Muhiuddin, G. and M. Al-roqi, A. (2014) "On Generalized Left Derivations in BCI-Algebras," Applied Mathematics & Information Sciences: Vol. 08: Iss. 3, Article 26.
DOI: http://dx.doi.org/10.12785/amis/080326
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss3/26