


Generalizations of Derivations in BCIAlgebras 

PP: 8994 

Author(s) 

G. Muhiuddin,
Abdullah M. Alroqi,


Abstract 

In the present paper we introduced the notion of (q ,f )derivations of a BCIalgebra X. Some interesting results on inside
(or outside) (q ,f )derivations in BCIalgebras are discussed. It is shown that for any commutative BCIalgebra X, every inside (q ,f )
derivation of X is isotone. Furthermore it is also proved that for any outside (q ,f )derivation d(q ,f ) of a BCIalgebra X, d(q ,f )(x) =
q (x)∧d(q ,f )(x) if and only if d(q ,f )(0) = 0 for all x ∈ X. 



