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We present a detailed analysis of the neutrino spin oscillations in magnetized moving and polarized matter. New phenomena of the resonant amplification of neutrino spin oscillations induced by the transverse component of the matter polarization are considered. In this contribution, a generalization is made in respect to our previous studies [1,2] and the effects of the transversal magnetic field, transversal motion and polarization of matter are simultaneously accounted for. The cases of Dirac and Majorana neutrinos are considered. We also discuss possible effects for neutrino fluxes in astrophysics. [1] P. Pustoshny, V. Shakhov, A. Studenikin, “Neutrino spin and spin-flavor oscillations in matter currents and magnetic fields”, PoS EPS-HEP2019 (2020) 429. [2] P. Pustoshny, A. Studenikin, “Neutrino spin and spin-flavor oscillations in transversal matter currents with standard and non-standard interactions”, Phys.Rev. D98 (2018) 113009. This work is supported by the Russian Foundation for Basic Research under grant No. 20-52-53022-GFEN-a.