Abstract
Let (R, 𝔪) be a commutative Noetherian local ring and N a finitely generated R-module with dim M =d. It is shown that M is a sequentially Cohen-Macaulay module if and only if the modules [Formula: see text] are either 0 or co-Cohen-Macaulay of Noetherian dimension i for all 0 ≤ i ≤ d.
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