a-Depth and a-Cohen-Macaulay modules

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Abstract

Let S be a commutative Noetherian ring and a a proper ideal of S. We give several bounds of a-depth of S-complexes and S-modules, investigate the behavior of a-depth and a-Cohen-Macaulay modules under tensor product with a faithfully flat S-module. Furthermore, we establish the Foxby equivalence of a-Cohen-Macaulay S-modules.

Keywords

a-depth / a-Cohen-Macaulay S-module / Foxby equivalence

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