A finiteness condition on local cohomology in positive characteristic

Mathematics – Commutative Algebra

Scientific paper

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minor corrections, to appear in Journal of Pure and Applied Algebra

Scientific paper

In this paper we present a condition on a local Cohen-Macaulay F-injective
ring of positive characteristic $p > 2$ which implies that its top local
cohomology module with support in the maximal ideal has finitely many Frobenius
compatible submodules.

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