$ \mathfrak{a} $-Depth and $ \mathfrak{a} $-Cohen-Macaulay modules

Electronic Research Archive 2026 Open access

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Authors: Pengju Ma, Yanjie Li
DOI: 10.3934/era.2026055
Cited by: 0
References: 13

Abstract

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

Fields of Study & Subjects

Commutative Algebra and Its Applications Rings Modules and Algebras Algebraic structures and combinatorial models

Publication details

Journal / source
Electronic Research Archive
Volume
34
Issue
2
Pages
1195–1208
Publication date
1 January 2026