Finiteness of graded local cohomology modules

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• 作者：Reza Sazeedeh
• 关键词：Updating ambiguous beliefs ; Full Bayesian Updating ; Choquet Expected Utility
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2008
• 出版时间：January 2008
• 年：2008
• 卷：212
• 期：1
• 页码：275-280
• 全文大小：208 K

文摘

Let be a Noetherian homogeneous ring with local base ring and irrelevant ideal R₊, let M be a finitely generated graded R-module. In this paper we show that is Artinian and is Artinian for each i in the case where R₊ is principal. Moreover, for the case where , we prove that, for each a18882"">, is Artinian if and only if is Artinian. We also prove that is Artinian, where 26a151783741b49d1360ba16a63fde3""> and c is the cohomological dimension of M with respect to R₊. Finally we present some examples which show that and need not be Artinian.