Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics
Commutative Algebra
2007-05-23 v2
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
Cite
@article{arxiv.math/0206261,
title = {Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics},
author = {M. Fernandez-Lebron and L. Narvaez-Macarro},
journal= {arXiv preprint arXiv:math/0206261},
year = {2007}
}
Comments
14 pages; A gap in the statement of Proposition (2.7) has been fixed and the proof of Theorem (3.14) has been adapted