Let be a graded ring.
: homogeneous element of degree .
= localized ring , where ={ }.
= {elements of degree zero in }.
Then there is 1-to-1 corresponence between homogeneous prime ideals of which does not contain and pime ideals of .
In my opinion, homogeneous prime ideal in may relate to pime ideal of .
But I can't show that any prime ideal of is of the form .