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It is well known that there exist many mechanisms that may contribute toneutrinoless double beta decay (0nbb-decay). By exploiting the fact that theassociated nuclear matrix elements are target dependent we show that, givendefinite experimental results on a sufficient number of targets, one candetermine or sufficiently constrain all lepton violating parameters includingthe mass term. As a specific example we show that, assuming the observation ofthe 0nbb-decay in three different nuclei, e.g., 76Ge, 100Mo and 130Te, and justthree lepton number violating mechanisms (light and heavy neutrino massmechanisms as well as R-parity breaking SUSY mechanism) being active, there areonly four different solutions for the lepton violating parameters, providedthat they are relatively real. In particular, assuming evidence of the0nbb-decay of 76Ge, the effective neutrino Majorana mass |m_bb| can be almostuniquely extracted by utilizing other existing constraints (cosmologicalobservations and tritium beta-decay experiments). We also point out thepossibility that the non-observation of the 0nbb-decay for some isotopes couldbe in agreement with a value of |m_bb| in sub eV region. We thus suggest thatit is important to have at least two different 0nbb-decay experiments for agiven nucleus.

Few active mechanisms of the neutrinoless double beta-decay and effective mass of Majorana neutrinos