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Artículo
Rings of differential operators as enveloping algebras of Hasse–Schmidt derivations
dc.creator | Narváez Macarro, Luis | es |
dc.date.accessioned | 2022-11-09T12:59:08Z | |
dc.date.available | 2022-11-09T12:59:08Z | |
dc.date.issued | 2020-01 | |
dc.identifier.citation | Narváez Macarro, L. (2020). Rings of differential operators as enveloping algebras of Hasse–Schmidt derivations. Journal of Pure and Applied Algebra, 224 (1), 320-361. https://doi.org/10.1016/j.jpaa.2019.05.009. | |
dc.identifier.issn | 0022-4049 | es |
dc.identifier.issn | 1873-1376 | es |
dc.identifier.uri | https://hdl.handle.net/11441/139174 | |
dc.description.abstract | Let k be a commutative ring and A a commutative k-algebra. In this paper we introduce the notion of enveloping algebra of Hasse–Schmidt derivations of A over k and we prove that, under suitable smoothness hypotheses, the canonical map from the above enveloping algebra to the ring of differential operators DA/k is an isomorphism. This result generalizes the characteristic 0 case in which the ring DA/k appears as the enveloping algebra of the Lie-Rinehart algebra of the usual k-derivations of A provided that A is smooth over k. | es |
dc.format | application/pdf | es |
dc.format.extent | 41 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Pure and Applied Algebra, 224 (1), 320-361. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Hasse–Schmidt derivation | es |
dc.subject | Integrable derivation | es |
dc.subject | Differential operator | es |
dc.subject | Substitution map | es |
dc.subject | Power divided algebra | es |
dc.title | Rings of differential operators as enveloping algebras of Hasse–Schmidt derivations | 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.publisherversion | https://doi.org/10.1016/j.jpaa.2019.05.009 | es |
dc.identifier.doi | 10.1016/j.jpaa.2019.05.009 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía | es |
dc.journaltitle | Journal of Pure and Applied Algebra | es |
dc.publication.volumen | 224 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 320 | es |
dc.publication.endPage | 361 | es |
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