Actions of internal groupoids in the category of leibniz algebras

Basit Öğe Kaydı
dc.authoridSahan, Tuncar -- 0000-0002-6552-4695; Sahan, Tuncar -- 0000-0002-6552-4695
dc.contributor.authorŞahan, TunÇar
dc.contributor.authorErciyes, Ayhan
dc.date.accessioned13.07.201910:50:10
dc.date.accessioned2019-07-16T09:16:40Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-16T09:16:40Z
dc.date.issued2019
dc.departmentSabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstractThe aim of this paper is to characterize the notion of internal category (groupoid) in the category of Leibniz algebras and investigate some properties of well-known notions such as covering groupoids and groupoid operations (actions) in this category. Further, for a fixed internal groupoid G in the category of Leibniz algebras, we prove that the category of covering groupoids of G and the category of internal groupoid actions of G on Leibniz algebras are equivalent. Finally, we interpret the corresponding notion of covering groupoids in the category of crossed modules of Leibniz algebras.
dc.description.sponsorshipAksaray University [2016-019]
dc.description.sponsorshipThis work has been supported by Research Fund of the Aksaray University. Project Number:2016-019.
dc.identifier.doi10.31801/cfsuasmas.453582
dc.identifier.endpage632en_US
dc.identifier.issn1303-5991
dc.identifier.issue1en_US
dc.identifier.startpage619en_US
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.453582
dc.identifier.urihttps://hdl.handle.net/20.500.12451/4634
dc.identifier.volume68en_US
dc.identifier.wosWOS:000463698900049
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherAnkara Üniversitesi
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectLeibniz Algebra
dc.subjectGroupoid Action
dc.subjectCovering
dc.titleActions of internal groupoids in the category of leibniz algebras
dc.typeArticle

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