Abstract. Let H be an additive abelian group. Then a commutative ring A is said to be //-graded if there is given a family [Ah}h<=H of subgroups of A such that A = ®heHAh and AhAg C Ah+g for all h,

Throughout this paper A denotes a Noetherian local ring with maximal ideal m and M denotes a finitely generated A-module. Moreover stands for the ith local cohomology functor with respect to m (cf. [10]). We refer to [15] for unexplained terminolog.

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Abstract. Let H be an additive abelian group. Then a commutative ring A is said to be //-graded if there is given a family [Ah}h<=H of subgroups of A such that A = ®heHAh and AhAg C Ah+g for all h,

No abstract