Number of homogeneous components of counterexamples to the Dixmier conjecture

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dc.contributor.affiliationPontificia Universidad Católica del Perú. Sección Matemáticas
dc.contributor.authorGuccione, J.A.
dc.contributor.authorGuccione, J.J.
dc.contributor.authorValqui, C.
dc.date.accessioned2026-03-13T17:00:51Z
dc.date.issued2025
dc.description.abstractAssume that P and Q are elements of A1 satisfying [𝑃,𝑄]=1. The Dixmier Conjecture for A1 says that they always generate A1. We show that if P is a sum of not more than 4 homogeneous elements of A1 then P and Q generate A1, which generalizes the main result in [Citation10].
dc.description.sponsorshipFunding: Jorge A. Guccione and Juan J. Guccione were supported by CONICET PIP 2021-2023 GI,11220200100423CO and CONCYTEC-FONDECYT within the framework of the contest "Proyectos de Investigación Básica 2020-01" [contract number 120-2020-FONDECYT]. Christian Valqui was supported by CONCYTEC-FONDECYT within the framework of the contest "Proyectos de Investigación Básica 2020-01" [contract number 120-2020-FONDECYT].
dc.identifier.doihttps://doi.org/10.1080/00927872.2024.2407991
dc.identifier.urihttp://hdl.handle.net/20.500.14657/206770
dc.language.isoeng
dc.publisherTaylor and Francis Ltd.
dc.relation.ispartofurn:issn:0092-7872
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.sourceCommunications in Algebra; Vol. 53, Núm. 3 (2025)
dc.subjectMathematics
dc.subjectCounterexample
dc.subjectConjecture
dc.subjectHomogeneous
dc.subjectPure mathematics
dc.subjectDiscrete mathematics
dc.subjectCombinatorics
dc.subject.ocdehttps://purl.org/pe-repo/ocde/ford#1.01.01
dc.titleNumber of homogeneous components of counterexamples to the Dixmier conjecture
dc.typehttp://purl.org/coar/resource_type/c_6501
dc.type.otherArtículo
dc.type.versionhttps://vocabularies.coar-repositories.org/version_types/c_970fb48d4fbd8a85/

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