Kragujevac Journal of Mathematics, cilt.48, sa.3, ss.365-382, 2024 (ESCI)
Let R be a semiprime ring and α be an automorphism of R. A mapping F: R → R (not necessarily additive) is called multiplicative generalized (α, α)derivation if there exists a unique (α, α)-derivation d of R such that F(xy) = F(x)α(y) + α(x)d(y) for all x, y ∈ R. In the present paper, we intend to study several algebraic identities involving multiplicative generalized (α, α)-derivations on appropriate subsets of semiprime rings and collect the information about the commutative structure of these rings.