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

2006/02/24 by Mordechai Katzman, Katzman, Mordechai
Mathematics · #13A35 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A35 #msc:13D45

paper · pdf · doi:10.48550/arxiv.math/0602550

arxiv created 2006/02/24 · arxiv updated 2009/12/01

Abstract

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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