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Some Properties of Co-Cohen-Macaulay Modules in the Theory of the Edge Ideal of a Graph Simple |
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PP: 51-56 |
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doi:10.18576/amis/140106
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Author(s) |
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Carlos Henrique Tognon,
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Abstract |
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| In this article, we study the theory and properties of co-Cohen-Macaulay modules. We show, for example, that the co- localization of co-Cohen-Macaulay modules preserves co-Cohen-Macaulayness under a certain condition. In addition, we give a characterization of co-Cohen-Macaulay modules by vanishing properties of the dual Bass numbers of modules. Moreover, we involve the theory of graphs within such modules achieving some applications for the edge ideal of a graph. |
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