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Paper IPM / M / 7710  


Abstract:  
We show that the ith generalized local cohomology module of
finitely generated graded modules M and N over a standard
positive graded commutative Noetherian ring R, with respect to
the irrelevant ideal R_{+}, is itself graded; all its graded
components are finitely generated modules over R_{0}, the
component of R of degree 0. Also we prove that the nth
component of H^{i}_{R+}(M,N)_{n} of this generalized local
cohomology module H^{i}_{R+}(M,N) is zero for all n >> 0.
Moreover, in this paper, we study the asymptotic behaviour of
Ass_{R0}(H^{i}_{R+}(M,N)_{n}) as n→ −∞ in the
following cases: beginitemize
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