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The effect of a strongly magnetized cold plasma on the Compton-like photoproduction of a neutrino-antineutrino pair on an electron, $\gamma e \to e \nu \bar \nu$, has been considered. The contribution of this process to the neutrino emissivity in both the non-resonance and the resonance cases has been calculated with taking account of the photon dispersion properties in medium. Our results show that the neutrino emissivity owing to the $\gamma e \to e \nu \bar \nu$ reaction is significantly modified as compared to the previously reported data.

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