'Kingship' in the Bible

Don’t you know that the Lord God of Israel gave the kingship over Israel to David and his descendants forever by a covenant of salt?

When Jehoram had ascended over the kingdom of his father and made himself secure, he killed all his brothers with the sword [to eliminate any rivals], and some of the leaders of Israel as well.

In the first year of his kingship, in the first month, he opened the doors of the house of Yahweh and strengthened them.