Now suppose the integral domain '' A '' is a finitely generated graded algebra over a field '' k '' generated by homogeneous elements degrees d_i such that '' A '' is finitely generated module over '' B '' .
Now suppose the integral domain '' A '' is a finitely generated graded algebra over a field '' k '' . 
 By the Noether normalization lemma , '' A '' contains a polynomial ring '' B '' of homogeneous variables of degrees d_i such that '' A '' is finitely generated module over '' B '' .