Local derivations on real AW*-algebras

In this article, we consider local derivations of real AW*-algebras. It has been proven that any derivation of real AW*-algebra whose complexification is (complex) AW*-algebra, is inner. Using a result by M. Bresar, we prove that any local derivation of a real AW*-algebra, whose enveloping algebra is a (complex) AW*-algebra, is a derivation. Consequently, any local derivation of a real W*- algebra is an inner derivation.