  Ground state magnetic properties of the spin-dependent Falicov-Kimball model
(FKM) are studied by incorporating the intrasite exchange correlation J
(between itinerant $d$- and localized $f$- electrons) and intersite
(superexchange) correlation $J_{se}$ (between localized $f$- electrons) on a
triangular lattice for two different fillings. Numerical diagonalization and
Monte-Carlo techniques are used to determine the ground state magnetic
properties. Transitions from antiferromagnetic to ferromagnetic and again to
re-entrant antiferromagnetic phase is observed in a wide range of parameter
space. The magnetic moments of $d$- and $f$- electrons are observed to depend
strongly on the value of $J$, $J_{se}$ and also on the total number of $d$-
electrons ($N_d$).
