Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics

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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

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Commutative Algebra, 13H05 (Primary) 13N15, 13N10, 13A35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/64389

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206261
 http://arxiv.org/abs/math/0206261

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arXiv