On a Problem of Brešar.

The main purpose of this paper is to investigate an additive range-inclusive map from a semiprime ring with idempotents into its maximal right quotient ring. As a corollary to our main result we obtain a simple proof of a result by Brešar. Our approach is based on connecting range-inclusive maps with the theories of local derivations and biderivations. [ABSTRACT FROM AUTHOR]