Not sure where in the world you are, but why does he need your permission or signature to buy a house? Is there a separation agreement? Have all assets been split already?
I'm in Canada and I bought my own home after my first H and I separated, but were not yet divorced. I never needed anything from him as long as I qualified for the mortgage without him.
Di-mond in the rough M-45 H-38 My children S-25 D-23 T 5 M 4 H left April Fools Day 2015