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Artículo
Coefficient fields and scalar extension in positive characteristic
(Elsevier, 2005-03-15)
Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A = k[[X1, . . . , Xn]]. We show that for any maximal ideal n of A′ = k(t)per ⊗k A, the elements in Ac′ n which are annihilated ...
Artículo
Hasse-Schmidt derivations and coefficient fields in positive characteristics
(Elsevier, 2003-07-01)
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 ...