Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics
arXiv:math/0206261
Abstract
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
14 pages; A gap in the statement of Proposition (2.7) has been fixed and the proof of Theorem (3.14) has been adapted