$F$-regularity, test elements, and smooth base change

@article{Hochster1994FregularityTE,
  title={\$F\$-regularity, test elements, and smooth base change},
  author={M. Hochster and C. Huneke},
  journal={Transactions of the American Mathematical Society},
  year={1994},
  volume={346},
  pages={1-62}
}
Bertini theorems for F-singularities
Finiteness properties of local cohomology for F-pure local rings
Test ideals and flat base change problems in tight closure theory
A Jacobian criterion for nonsingularity in mixed characteristic
Stability and deformation of F-singularities
Behavior of Test Ideals under Smooth and Étale Homomorphisms
Valuation rings are derived splinters
Strong test ideals associated to Cartier algebras
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