Friendship after divorce?

How important is to have a friendship with your ex husband?
I have been div for almost 3 years. I have 2 (7 11) kids and now my ex have gotten married and added another baby. He keep asking me to be friend and to keep things for the kids. I know the woman he married and personally dont like her. So I won't give In.
Also we ended the marriage in bad turns
I feel that he keeps pushing for thing I dont want just to make me look like the bad person.
Friendship after divorce?
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