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arXiv · 2301.05771

On the category of cofinite complexes and modules

Reza Sazeedeh
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Abstract

Let $A$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $A$. In this paper, we extend Hartshorne's characterization of cofinite complexes to more general classes of rings. We also determine conditions under which Hartshorne's fourth question [H1] admits an affirmative answer. Finally, we investigate the cofiniteness of complexes of $\frak a$-cofinite modules for rings of lower dimensions.

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Reza Sazeedeh. 2023-01-13. On the category of cofinite complexes and modules. https://arxiv.org/abs/2301.05771

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