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- W4298041128 abstract "The aim of this paper is to introduce a new class of Noetherian rings of positive characteristic in terms of perfect closures and study their basic properties. If the perfect closure of a Noetherian ring is coherent, we call it an $F$-coherent ring. Some interesting applications are given in connection with tight closure theory. In particular, we discuss relationships between $F$-coherent rings and $F$-pure, $F$-regular, and $F$-injective rings. The final section discusses how the coherent property effects the behavior of tight closure for general perfect rings." @default.
- W4298041128 created "2022-10-01" @default.
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- W4298041128 date "2009-08-05" @default.
- W4298041128 modified "2023-10-16" @default.
- W4298041128 title "F-coherent rings with applications to tight closure theory" @default.
- W4298041128 doi "https://doi.org/10.48550/arxiv.0908.0630" @default.
- W4298041128 hasPublicationYear "2009" @default.
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