Cofiniteness of generalized local cohomology modules

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Abstract

Let Formula: see text be an ideal of a commutative noetherian ring Formula: see text and Formula: see text two Formula: see text-modules with Formula: see text finitely generated. It is shown that if either Formula: see text is an Formula: see text-cofinite module of dimension Formula: see text for all Formula: see text, or Formula: see text is a principal ideal and Formula: see text is finitely generated for all Formula: see text, or Formula: see text is finitely generated and Formula: see text for all Formula: see text, then the Formula: see text-module Formula: see text is Formula: see text-cofinite for all Formula: see text.

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Cite This Study

Shen et al. (Thu,) studied this question.

synapsesocial.com/papers/68e67a9ab6db643587604b3a https://doi.org/https://doi.org/10.1142/s0219498825503153

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