… R\) is called multiplicative (generalized)-derivation if \(F(xy)=F(x… commutativity of semiprime
rings and nature of mappings. … , when a generalized derivation F of a semiprime ring R acts …

… )-derivations. More precisely, we study all the … in semiprime rings by replacing the two-sided
ideal I with a left-sided ideal L and generalized derivation with multiplicative (generalized)-…

… derivation as follows: a mapping F : R → R is called a multiplicative generalized derivation
if there exists a derivation d such that F(xy) = F(x)y+xd(y) for all x, y ∈ R. In [10], Dhara and Ali …

… semiprime ring and I a nonzero ideal of R. A map F:R→R is called a multiplicative generalized
derivation … results concerning semiprime rings to a multiplicative generalized derivations. …

… By Lemma 2, every multiplicative (generalized)-derivation F : R −→ R … multiplicative
generalized derivation in semiprime ring. Thus our next corollary is about multiplicative generalized …

… In the present paper, we shall extend above results for a nonzero ideal of a semiprime
ring with multiplicative generalized derivation of R. Also, we will investigate these results for …

… ring and I be a nonzero ideal of R. Suppose F : R → R is a nonzero generalized derivation
… situations, when a generalized derivation F of a semiprime ring R acts as homomorphism or …

… the multiplicative generalized derivation. It is obvious that every generalized derivation is a
multiplicative generalized derivation of R, but the converse need not be true in general. Thus …

… derivation as follows: a mapping \(F:R\rightarrow R\) is called a multiplicative generalized
derivation if there exists a derivation \(d\) such that \(F(xy)=F(x)y+xd(y)\) for all \(x,y\in R\), where …

… derivations as follows: a mapping F on R is said to be multiplicative generalized derivation
if there exists a derivation d on R such that F(xy) = F(x)y + xd(y) for all x, y ∈ R. Recently, …