Valeriy Dvoeglazov P, C and T for Truly Neutral Particles (156K, PDF file) ABSTRACT. We study Majorana-like constructs in the (1/2,0)+(0,1/2) representation. We show that the parity properties of a fermion and its antifermion are quite different comparing with the Dirac case. The transformation laws for C and T operations have also been given on the secondary quantization level. The construct can be applied to explanation of the present situation in neutrino physics. The case of the (1,0)+(0,1) field is also considered.