Didn't Judas hang himself? Are the apostle Judas and the writer Judas the same person?

That's not true. Among the Israelites, many people call the name Judas because the word Judas means to praise God. The ancestor of Jesus Christ was Judas, one of the twelve sons of Israel. Besides two disciples named Judas, Jesus also has a brother named Judas. Judas was written by Judas, the brother of Jesus.