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Proceedings of the American Mathematical Society

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Differential basis and $ p$-basis of a regular local ring


Authors: Tetsuzo Kimura and Hiroshi Niitsuma
Journal: Proc. Amer. Math. Soc. 92 (1984), 335-338
MSC: Primary 13H05; Secondary 13B10
DOI: https://doi.org/10.1090/S0002-9939-1984-0759648-8
MathSciNet review: 759648
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Abstract: We prove that any differential basis of a regular local ring $ R$ of characteristic $ p > 0$ over $ {R^p}$ is a $ p$-basis of $ R$ over $ {R^p}$. This result gives a characterization of a regular local ring $ R$ which has a $ p$-basis over $ {R^p}$.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0759648-8
Keywords: Differential basis, $ p$-basis, regular local ring
Article copyright: © Copyright 1984 American Mathematical Society