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We adapt the type II seesaw mechanism to the framework of the 3-3-1 modelwith right-handed neutrinos. We emphasize that the mechanism is capable ofgenerating small masses for the left-handed and right-handed neutrinos and thestructure of the model allows that both masses arise from the same Yukawacoupling. For typical values of the free parameters of the model we may obtainat least one right-handed neutrino with mass in the KeV range. Right-handedneutrino with mass in this range is a viable candidate for the warm componentof the dark matter existent in the universe.

KeV right-handed neutrinos from type II seesaw mechanism in a 3-3-1 model