Abstract
Let [Formula: see text] be a commutative Noetherian ring and [Formula: see text] be an ideal of [Formula: see text] such that the [Formula: see text]-modules [Formula: see text] are [Formula: see text]-cofinite, for all finitely generated [Formula: see text]-modules [Formula: see text] and all [Formula: see text]. In this paper, we investigate a question of Hartshorne concerning the Abelianness of the category of all [Formula: see text]-cofinite modules.
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