The inverse seesaw mechanism of neutrino mass, i.e. [Formula: see text], where ∊L is small, is discussed in the context of the U(1)Σ model. This is a gauge extension of the Standard Model of particle interactions with lepton triplets (Σ+, Σ0, Σ-) as (Type III) seesaw anchors for obtaining small Majorana neutrino masses.