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Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics

交换代数 2007-05-23 v2

摘要

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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引用

@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}
}

备注

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