Co-Cohen-Macaulay Modules and Local Cohomology

Hero Saremi and Amir Mafi

Journal of Mathematics, 2013, vol. 2013, 1-3

Abstract:

Let be a commutative Noetherian local ring and let be a finitely generated -module of dimension . Then the following statements hold: (a) if width for all with , then is co-Cohen-Macaulay of Noetherian dimension ; (b) if is an unmixed -module and depth , then is co-Cohen-Macaulay of Noetherian dimension if and only if is either zero or co-Cohen-Macaulay of Noetherian dimension . As consequence, if is co-Cohen-Macaulay of Noetherian dimension for all with , then is co-Cohen-Macaulay of Noetherian dimension .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:912643

DOI: 10.1155/2013/912643

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