Tensor products and direct limits of almost Cohen–Macaulay modules
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DOI: 10.1142/s0219498818502213
Abstract: We investigate the almost Cohen–Macaulay property and the Serre-type condition [Formula: see text] for noetherian algebras and modules. More precisely, we find permanence properties of these conditions with respect to tensor products and direct limits. read more here.
Keywords: tensor products; direct limits; cohen macaulay; products direct ... See more keywords
About the Cohen-Macaulay defect and almost Cohen-Macaulay rings
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DOI: 10.1142/s0219498826500672
Abstract: We notice the connection between almost Cohen-Macaulay rings and the Cohen-Macaulay defect. We introduce a Serre-type condition for modules, that is connected to the Cohen-Macaulay defect in the same way that the condition $(S_n)$ is… read more here.
Keywords: macaulay defect; macaulay; almost cohen; cohen macaulay ... See more keywords