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Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation

dc.creatorAlonso García, María Emiliaes
dc.creatorCastro Jiménez, Francisco Jesúses
dc.creatorHauser, Herwiges
dc.creatorKoutschan, Christophes
dc.date.accessioned2020-02-04T08:35:08Z
dc.date.available2020-02-04T08:35:08Z
dc.date.issued2018
dc.identifier.citationAlonso García, M.E., Castro Jiménez, F.J., Hauser, H. y Koutschan, C. (2018). Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation. Bulletin of the London Mathematical Society, 50, 649-662.
dc.identifier.issn0024-6093es
dc.identifier.issn1469-2120es
dc.identifier.urihttps://hdl.handle.net/11441/92722
dc.description.abstractGabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization of the concept of ideals in power series rings.es
dc.description.sponsorshipCentre International de Rencontres Mathématiques (CIRM)es
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO). Españaes
dc.description.sponsorshipAustrian Science Fundes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherLondon Mathematical Societyes
dc.relation.ispartofBulletin of the London Mathematical Society, 50, 649-662.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectPower serieses
dc.subjectArtin approximationes
dc.titleEchelons of power series and Gabrielov’s counterexample to nested linear Artin Approximationes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de álgebraes
dc.relation.projectIDMTM2014-55565es
dc.relation.projectIDMTM2013-40455-Pes
dc.relation.projectIDMTM2016-75024-Pes
dc.relation.projectIDP-25652es
dc.relation.projectIDAI-0038211es
dc.relation.projectIDP29467-N32es
dc.relation.projectIDF5011-N15es
dc.relation.publisherversionhttps://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.12162es
dc.identifier.doi10.1112/blms.12162es
dc.contributor.groupUniversidad de Sevilla. FQM333: Algebra Computacional en Anillos no Conmutativos y Aplicacioneses
idus.format.extent13 p.es
dc.journaltitleBulletin of the London Mathematical Societyes
dc.publication.volumen50es
dc.publication.initialPage649es
dc.publication.endPage662es

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