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math.AC2010★ 3 cited
Dual Bass Numbers and Co-Cohen Macaulay Modules
Lingguang Li
In this paper, we give a characterization of co-Cohen Macaulay modules by vanishing properties of the dual Bass numbers of modules. In addition, we show that the co-localization of…
math.AC2010
Vanishing Properties of Dual Bass numbers
Lingguang Li
Let be a Noetherian ring, an Artinian -module, $\p\in\Cos_RM$. Then $\cograde_{R_{\p}}\Hom_{R}(R_{\p},M)=\inf\{i | π_{i}(\p,M)>0\}$ and $$π_{i}(\p,M)>0\Rightarrow\cograd…