Jealousy falls under the tenth commandment - do not covet. Jealousy is the noun that relates to the state of being jealous: “feeling resentment against someone because of that person's rivalry, success, or advantages; inclined to or troubled by suspicions or fears of rivalry, unfaithfulness.”
Is God a jealous God?
"Do not worship any other god, for the LORD, whose name is Jealous, is a jealous God. Exodus 34:14.
In Exodus 20:5, when God commands that His people worship no other gods, He acknowledges it is because “I, the Lord your God, am a jealous God". So he's pretty much admitting it.