  We compute the valley/magnetic phase diagram of mono layers of transition
metal dichalcogenides in the hole doped region where spin-orbit effects are
particularly relevant. Taking into account the moderate to high local
electron-electron interactions due to the presence of transition metal atoms,
we show that the system is unstable to an itinerant ferromagnetic phase where
all charge carriers are spin and valley polarized. This phase shows an
anomalous charge Hall and anomalous spin-Hall response, and may thus be
detected experimentally.
