Cohomologies and generalized derivations of n-Lie algebras

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dc.authorid0000-0003-0925-8668
dc.authorid0000-0003-0925-8668en_US
dc.contributor.authorAteşli, Begümen_US
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2023-01-09T16:05:46Z
dc.date.available2023-01-09T16:05:46Z
dc.date.issued2022
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.descriptionThe authors acknowledge the support by TUBITAK (the Scientific and Technological Research Council of Turkey) through the project "Matched pairs of Lagrangian and Hamiltonian Systems" with the project number 117F426.en_US
dc.description.abstractA cohomology theory associated to an n-Lie algebra and a representation space of it is introduced. It is shown that this cohomology theory classifies generalized derivations of n-Lie algebras as 1-cocycles, and inner generalized derivations as 1-coboundaries.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationAteşli, B., Esen, O. & Sütlü, S. (2022). Cohomologies and generalized derivations of n-Lie algebras. New York Journal of Mathematics, 28, 1637-1655.en_US
dc.identifier.endpage1655
dc.identifier.issn1076-9803en_US
dc.identifier.startpage1637
dc.identifier.urihttps://hdl.handle.net/11729/5236
dc.identifier.volume28
dc.identifier.wosWOS:000894493600001en_US
dc.identifier.wosqualityQ3
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkanen_US
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElectronic Journals Projecten_US
dc.relation.ispartofNew York Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectn-Lie algebraen_US
dc.subjectLeibniz algebraen_US
dc.subjectLeibniz algebrasen_US
dc.subjectGeneralized derivationen_US
dc.subjectNambuen_US
dc.subjectExtensionsen_US
dc.titleCohomologies and generalized derivations of n-Lie algebrasen_US
dc.typeArticleen_US

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