Shows cofinite properties of local cohomology modules across finitely generated modules in Noetherian rings, indicating broader implications in algebraic geometry.
Suppose that is an ideal of a given commutative Noetherian ring R such that the R-modules H¹_(M) and H³_(M) are -cofinite, for every finitely generated R-modules M. In this paper, it is shown that the R-modules Hⁱ_(M) are -cofinite, for all finitely generated R-modules M and all integers i∈N₀.
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Gholamreza Pirmohammadi (2026) studied this question.
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