We consider a present research status of the T-invariance tests in neutron-nuclear reactions. The specific feature of this field is a presence of enhancement effects of T-invariance violation in compound states of medium and heavy nuclei. We describe in detail the progress in preparation of the experimental tests of T-invariance with the use of three- and five-fold correlations in total cross section of interaction of polarized neutrons with aligned nuclei. We consider as well the tests of T-invariance in neutron capture reactions and neutron coherent scattering on the crystals.

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