Coefficient fields and scalar extension in positive characteristic

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dc.creatorFernandez-Lebron, M.
dc.creatorNarvaez-Macarro, L.
dc.date2004-11-15
dc.date2005-05-19
dc.date.accessioned2026-07-07T05:14:20Z
dc.date.available2026-07-07T05:14:20Z
dc.descriptionLet k be a perfect field of positive characteristic, k(t)_{per} the perfect closure of k(t) and A=k[[X_1,...,X_n]]. We show that for any maximal ideal N of A'=k(t)_{per}\otimes_k A, the elements in \hat{A'_N} which are annihilated by the "Taylor" Hasse-Schmidt derivations with respect to the X_i form a coefficient field of \hat{A'_N}.
dc.descriptionFinal version
dc.identifierhttps://arxiv.org/abs/math/0411323
dc.identifierhttp://arxiv.org/abs/math/0411323
dc.identifierJournal of Algebra 285 (2005), 819-834
dc.identifierdoi:10.1016/j.jalgebra.2004.11.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73238
dc.subjectCommutative Algebra
dc.subject13F25, 13N15, 13B35, 13A35
dc.titleCoefficient fields and scalar extension in positive characteristic
dc.typetext

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