The cross section for the production of pairs of likely charged leptons in the deep-inelastic processes \(e^ + p \to \bar v_e \ell ^ + \ell '^ + X(\ell ,\ell ' = e,\mu ,\tau )\) induced by the exchange of heavy Majorana neutrinos is calculated. The effect of interference between different neutrino mass eigenstates is studied. The possibilities for observing this effect at future lepton-proton colliders are considered.
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