Öz
In the paper, we extend the definition of generalized derivations to superalgebras and prove that a generalized superderivation g on a prime
superalgebra A is represented as g(x) = ax+d(x) for all x ∈ A, where a
is an element of Qmr (the maximal right ring of quotients of A) and d is
a superderivation on A. Using the result we study two generalized superderivations when their product is also a generalized superderivation
on a prime superalgebra A.