Abstract
We define a duality operation connecting closure operations, interior operations, and test ideals, and describe how the duality acts on common constructions such as trace, torsion, tight and integral closures, and divisible submodules. This generalizes the relationship between tight closure and tight interior demonstrated by Epstein and Schwede (2014) and allows us to extend commonly used results on tight closure test ideals to operations such as those above.
Citation
Neil Epstein. Rebecca R.G.. "Closure-interior duality over complete local rings." Rocky Mountain J. Math. 51 (3) 823 - 853, June 2021. https://doi.org/10.1216/rmj.2021.51.823
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