A map δ: S⊆ A→ A is called a strong commutativity preserving (SCP) on S if [δ (x), δ (y)]=[x,
y] for all x, y∈ S, where A is a Banach algebra over C or R and S is a nonempty subset of A …

In this manuscript, we study the $ m $-th commutator and anti-commutator involving
generalized derivations on some suitable subsets of rings. We attain the information about …

In this manuscript, we discuss the behaviour and nature of generalized derivation GG on a
(semi-) prime ring RR satisfying certain differential identities over II, a nonzero ideal of R R …

Let R be a noncommutative prime ring of char (R)= 2, F a generalized derivation of R
associated to the derivation d of R and I a nonzero ideal of R. Let S⊆ R. The left annihilator …

In this manuscript, we investigate the differential identities on (semi)-prime rings involving
generalized derivations. Further, we obtain the structure of rings and information about the …

In this manuscript, we investigate the differential identities on (semi)-prime rings involving
generalized derivations. Further, we obtain the structure of rings and information about the …

Let R be a prime ring of characteristic different from two, Q be the Martindale quotient ring of
R and C be the extended centroid of R. Suppose that d is a derivation of R, I a nonzero ideal …

In the present paper, we investigate the action of generalized derivation F associated with a
derivation d in a (semi-) prime ring R satisfying F ((xoy)^ sup 2^)^ sup m^-d (xoy)^ sup 2n^∈ …