These 'neutron electron' particles, or neutrinos, do have seperate antipatricles - antineutrinos. If what everything2.com said is true, then neutrons would be their own antiparticles (as they have no charge!) and there could be no atoms as anything bigger than hydrogen would simply go boom.
Antineutrinos are given off in beta decay of radioactive nuclei in response to an electron being given off, as the lepton number has to remain constant (electron = +1, antineutrino = -1), like the conservation of charge or energy. There have been discussions on whether neutrinos can change between 'types' - electron, muon and tau and there have been huge detectors set up using tanks of water to try and find them. They have had a few 'hits' per week and there is a huge endeavour using a part of the Mediterranean sea as a detector. A neutrino will annihilate with an antineutrino of the same type (and possibly other types), but never with another neutrino.
The only particles that are their own antiparticles are some mesons (particles consisting of 2 quarks, the components of protons, neutrons, lambdas, etc) and the bosons, or force carriers - photons, gluons (carriers of the strong force), Z particles (a carrier of the weak force, but it is very unstable) and possibly the graviton, but gravitons have never been contained or produced artificially, so we can't prove it.
Just trying to set the record straight.