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In view of recent measurements of the mixing angle \theta_{13} a possibilityto determine the difference of two CP Majorana phases of the neutrino mixingmatrix from the study of neutrinoless double-beta decay is investigated. Weshow that in the case of the inverted hierarchy of neutrino masses it might bepossible if neutrinoless double-beta decay will be observed. The requiredexperimental accuracies and uncertainty in the calculated nuclear matrixelements of the process are discussed.

On the possibility of a measurement of the CP Majorana phase in the 0\nu\beta\beta-decay