dc.creator | Narváez Macarro, Luis | es |
dc.date.accessioned | 2016-07-04T10:19:33Z | |
dc.date.available | 2016-07-04T10:19:33Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Narváez Macarro, L. (2009). Hasse-Schmidt derivations, divided powers and differential smoothness. Annales de l'Institut Fourier, 59 (7), 2979-3014. | |
dc.identifier.issn | 0373-0956 | es |
dc.identifier.issn | 1777-5310 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43077 | |
dc.description.abstract | Let k be a commutative ring, A a commutative k-algebra and D the
filtered ring of k-linear differential operators of A. We prove that: (1) The
graded ring gr D admits a canonical embedding θ into the graded dual of
the symmetric algebra of the module ΩA/k of differentials of A over k,
which has a canonical divided power structure. (2) There is a canonical
morphism ϑ from the divided power algebra of the module of k-linear
Hasse-Schmidt integrable derivations of A to gr D. (3) Morphisms θ and
ϑ fit into a canonical commutative diagram. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Association des Annales de l'Institut Fourier | es |
dc.relation.ispartof | Annales de l'Institut Fourier, 59 (7), 2979-3014. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | derivation | es |
dc.subject | integrable derivation | es |
dc.subject | differential operator | es |
dc.subject | divided powers structure | es |
dc.title | Hasse-Schmidt derivations, divided powers and differential smoothness | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | MTM2007-66929 | es |
dc.relation.publisherversion | http://dx.doi.org/10.5802/aif.2513 | |
dc.identifier.doi | 10.5802/aif.2513 | |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 36 p. | es |
dc.journaltitle | Annales de l'Institut Fourier | es |
dc.publication.volumen | 59 | es |
dc.publication.issue | 7 | es |
dc.publication.initialPage | 2979 | es |
dc.publication.endPage | 3014 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43077 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |