$F$-stable submodules of top local cohomology modules of Gorenstein rings

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

This paper applies G. Lyubeznik's notion of $F$-finite modules to describe in
a very down-to-earth manner certain annihilator submodules of some top local
cohomology modules over Gorenstein rings.
As a consequence we obtain an explicit description of the test ideal of
Gorenstein rings in terms of ideals in a regular ring.

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