I been recently into a conversation where I was told that Friday prayer should be read with Duhur prayer like after Friday prayer. Also there was a part that your prayer isn't compete until you read Duhur nafal and send salat-o-Salam. The reason for Salam is that when hazart Muhammad (PUBH) migrated, the people welcome him with salat-o-Salam in Arabic so we should send Salam on prophet as well.
Ruling on doing Zuhr prayer after Jumu’ah - this fatwa concludes with the following:
Praying Zuhr after Jumu’ah is a bid’ah and a going astray, instituting a new way which Allaah has not prescribed. We must not do this; we must beware of it and warn people against it, and limit ourselves to doing Jumu’ah prayer only
So, one may not pray dhuhr after jumu'ah, which makes jumu'ah a replacement for dhuhr. Those who missed jumua'ah, the *women, the travelers, and those who live in desert need to pray dhuhr instead of jumu'ah - How should a person who has missed Jumu’ah pray?
Jumu'ah consists of a sermon (khutba) given by the imam after which he will lead the people in 2 rakahs - All about Jummu’ah. If someone says jumu'ah is not complete without salat o salam, let them prove it.