  We analyze a model with unbroken B-L gauge symmetry where neutrino masses are
generated at one loop, after spontaneous breaking of a global U(1) symmetry.
These symmetries ensure dark matter stability and the Diracness of neutrinos.
Within this context, we examine fermionic dark matter. Consistency between the
required neutrino mass and the observed relic abundance indicates dark matter
masses and couplings within the reach of direct detection experiments.
