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 .