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On graded generalized local cohomology

Authors:	Naser Zamani

Institution:	(1) Faculty of Science, Mohaghegh Ardabili University, P.O. Box 179, Ardabil, Iran

Abstract:	Let $R = {\mathop \oplus \limits_{i\underline{\underline > } 0} }R_{i}$ be a homogeneous Noetherian ring with local base ring (R₀,m₀) and let M,N be two finitely generated graded R-modules. Let $H^{i}_{{R + }} {\left( {M,N} \right)}$ denote the i-th graded generalized local cohomology of N relative to M with support in $R = {\mathop \oplus \limits_{i\underline{\underline > } 0} }R_{i}$ . We study the vanishing, tameness and asymptotical stability of the homogeneous components of $H^{i}_{{R + }} {\left( {M,N} \right)}$ . Received: 22 March 2005; revised: 25 June 2005

Keywords:	13D07 13D45 13E10
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