Hasse-Schmidt Derivations and Coefficient Fields in Positive Characteristics

2002/06/25 by M. Fernandez-Lebron, Fernandez-Lebron, M., L. Narvaez-Macarro +1
Mathematics · #13A35 (Secondary) #13H05 (Primary) 13N15 #13N10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A35 #msc:13H05 #msc:13N10 #msc:13N15

paper · pdf · doi:10.48550/arxiv.math/0206261

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

arxiv created 2002/08/06 · arxiv updated 2009/11/30

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

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