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Tensor products and direct limits of almost Cohen–Macaulay modules

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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… Click to show full 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.

Keywords: tensor products; direct limits; cohen macaulay; products direct; almost cohen

Journal Title: Journal of Algebra and Its Applications
Year Published: 2018

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