|
|
|
|
|
On Generalized Left Derivations in BCI-Algebras |
|
PP: 1153-1158 |
|
Author(s) |
|
G. Muhiuddin,
A. M. Al-roqi,
|
|
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. |
|
|
|
|
|