  This paper is an attempt to modify the classic Ruderman-Kittel-Kasuya-Yosida
(RKKY) model to allow the analysis of the magnetic resonance measurements. In
our calculations, we follow the treatment of the original authors of the RKKY
model but include the finite band splitting, {\Delta}, as a phenomenological
parameter. The RKKY exchange is not anymore of Heisenberg type and an
anisotropy induced by the direction of carrier magnetization occurs.
