The kingdom of the antichrist has been identified with the future revival of the Roman Empire, the fourth beast of Daniel 7. Satan's prince will violently overthrow three of the ten nations forming the revived Roman Empire.
Daniel also, looking forward to the end of the last kingdom, the ten last kings, among whom the kingdom of those men shall be partitioned and upon whom the son of perdition shall come, declares that ten horns shall spring from the beast and that another little horn shall arise in the midst of them and that three of the former shall be rooted up before his face.
This same scholar refers to the antichrist sitting in a rebuilt Temple, "in which the enemy shall sit, endeavoring to show himself as Christ, as the Lord also declares", Matthew 24:15.

    Discussing Daniel's prophecies of the coming antichrist, he wrote,"For when he is come and of his own accord concentrates in his own person the apostasy and accomplishes whatever he shall do according to his own will and choice, sitting also in the temple of God, so that his dupes may adore him as the christ; wherefore also shall he deservedly 'be cast into the lake of fire.'"
He wrote "For he the antichrist being endued with all power of the devil, shall come, not as a righteous king, nor a legitimate king, in subjection to God, but an unjust and lawless one; as an apostate, iniquitous and murderous; as a robber, concentrating in himself all satanic apostasy and setting aside idols to persuade men that he himself is God, raising up himself as the only idol, having in himself the multifarious [many sided] errors of the other idols."
One Christian writer who lived most of the  second century after Jesus, studied the Gospels under Polycarp who was a disciple of John the Apostle that wrote the book of John. This fellow knew many of the men that were taught by the 12 apostles and had become martyrs during a period of persecution of the Church.

     His writings are considered one of the most important to the early church. He writes of the rule of the antichrist and its relation to Jesus' Second Coming.