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math.AC2023
Rationality for arbitrary closure operations and the test ideal of full extended plus closure
Zhan Jiang, Rebecca R. G
We extend the notion of F-rationality to other closure operations, inspired by the work of Smith, Epstein and Schwede, and Ma and Schwede, which describe F-rationality in terms of…
math.AC2021
Test elements in equal characteristic semianalytic algebras
Zhan Jiang
We establish a series of results showing that the Jacobian ideal is contained in the test ideal. After proving a new result in characteristic for complete rings over a field $K…