The fundamental basics of the Standard Model such as local gauge symmetry and mass generation via the Higgs mechanism are widely confirmed by current experimental data. However, some problems such as neutrino masses, dark matter, baryon asymmetry of Universe have clearly indicated that the Standard Model cannot be the ultimate theory of Nature. To surpass the mentioned puzzles, many extensions of the Standard Model (called beyond Standard Model) have been proposed. Among beyond Standard Models, the 3-3-1 models have some intriguing features and they get wide attention. The pioneer models develop in some directions. In this paper, some versions of the 3-3-1 models and new consequences are presented.
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