  It is claimed that radiative corrections maintain the proportionality between
the neutrino mass and the neutrino-majoron coupling and never give rise to
enhanced decay rates in conventional majoron models. The coupling of a majoron
to neutrinos is calculated at one loop level in various models, including the
singlet majoron model and the Zee model with a majoron. When the respective
corrections to the mass matrix are taken into account the would-be non-diagonal
terms in the neutrino-majoron coupling are rotated away. It is pointed out that
the coincidence between neutrino mass matrices and neutrino-majoron couplings
is not accidental, but is a general consequence of Noether's theorem. Noether's
theorem also implies that the majoron coupling to charged fermions is always
diagonal in the fermion mass basis, and it vanishes completely in the singlet
majoron models.
