dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author
Álvarez Montaner, Josep
dc.contributor.author
Blickle, Manuel
dc.contributor.author
Lyubeznik, Gennady
dc.identifier
https://hdl.handle.net/2117/920
dc.description.abstract
Let R = k[x1, . . . , xd] or R = k[[x1, . . . , xd]] be either a
polynomial or a formal power series ring in a finite number of variables
over a field k of characteristic p > 0 and let DR|k be the ring of klinear
differential operators of R. In this paper we prove that if f is
a non-zero element of R then Rf , obtained from R by inverting f, is
generated as a DR|k–module by 1
f . This is an amazing fact considering
that the corresponding characteristic zero statement is very false. In
fact we prove an analog of this result for a considerably wider class of
rings R and a considerably wider class of DR|k-modules.
dc.format
application/pdf
dc.rights
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights
Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject
Differential algebra
dc.subject
Àlgebra diferencial
dc.subject
Àlgebra diferencial
dc.subject
Classificació AMS::13 Commutative rings and algebras::13N Differential algebra
dc.title
Generators of D-modules in positive characteristic
