Hasse–Schmidt derivations and coefficient fields in positive characteristics

We show how to express any Hasse–Schmidt derivation of an algebra in terms of a finite number of them under natural hypothesis. As an application, we obtain coefficient fields of the completion of a regular local ring of positive characteristic in terms of Hasse–Schmidt derivations.

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Bibliographic Details
Published in:Journal of algebra 2003-07, Vol.265 (1), p.200-210
Main Authors: Fernández-Lebrón, M., Narváez-Macarro, L.
Format: Article
Language:English
Subjects:
Coefficient field
Hasse–Schmidt derivation
Regular local ring
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Summary:We show how to express any Hasse–Schmidt derivation of an algebra in terms of a finite number of them under natural hypothesis. As an application, we obtain coefficient fields of the completion of a regular local ring of positive characteristic in terms of Hasse–Schmidt derivations.
ISSN:0021-8693
1090-266X
DOI:10.1016/S0021-8693(03)00238-2