Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics

Details Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics

2002-06-25

arxiv.org/abs/math/0206261v2

Mathematics

Commutative Algebra

14 pages; A gap in the statement of Proposition (2.7) has been fixed and the proof of Theorem (3.14) has been adapted

Scientific paper

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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