  Doubly charged Higgs s-channel resonances are analyzed in the $e^-e^- \to
W^-W^-$ process. In our analysis recent stringent constraint on an effective
neutrino mass $<m_{\nu}>$ coming from neutrinoless double-$\beta$ decay is
implemented. It is shown that due to a very restrictive limit on $<m_{\nu}>$
the doubly charged Higgs resonance predicted by the Standard Model with
additional Higgs triplets is below the detection limit. For the same reason
also the $\Delta_L^{--}$ resonance can not be visible in the framework of the
conventional Left-Right symmetric model. The situation is quite different for
the $\Delta_R^{--}$ pole and large signal is possible here. Contributions of
the s, t and u channels to the cross section around the $\Delta_R^{--}$ peak
are also discussed.
