On the Krull dimension of cofinite local cohomology modules
DOI:
https://doi.org/10.7146/math.scand.a-151573Abstract
Let a be an ideal of a Noetherian ring R such that the category of a-cofinite modules is an Abelian subcategory of the category of R-modules. Let M be a finitely generated R-module such that the R-modules Hia(M) are a-cofinite for all integers i∈N0. In this paper it is shown that dimHia(M)≤1 for all integers i≥2.
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