What is a Republican state?

In U.S. Politics, a "Republican State" could mean a state in which the population is primarily of the Republican Party, or a state who's Electorates in the Electoral College system typically vote for Republican Party presidential candidates.

In general, however, a Republican state could mean a government that is a "Republic," which means that specific rules may be in place, such as in a Constitution, that protect people, including minorities, from "angry mobs" of majority voters.