Results on graded generalized local cohomology

Let R = circle times(i >= 0) R-i be a positively graded Noetherian ring with irrelevant ideal R+ = circle times(i >= 1) R-i, and let M, N be two finitely generated graded R-modules such that pd(M) is finite. We show that the least integer i for which H-R+(i) (M, N) is not asymptotically zero is equal to the least integer i such that R+ not subset of root 0 :(R) H-R+(i) (, N). Also, whenever R is homogeneous with local base ring (R-0, m(0)), we prove some Artinian and tameness property for H-R+(i) (M, N).