Representability of actions in the category of (Pre)crossed modules in Leibniz algebras

dc.contributor.authorAtık, M.
dc.contributor.authorAytekin, Ali
dc.contributor.authorUslu, Enver Önder
dc.date.accessioned13.07.201910:50:10
dc.date.accessioned2019-07-16T09:15:26Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-16T09:15:26Z
dc.date.issued2017
dc.departmentFen-Edebiyat Fakültesi
dc.description.abstractWe investigate the representability of actions in the category of (pre)crossed modules in Leibniz algebras. For this, we construct an actor of a (pre)cat(1)-Leibniz algebra and then by using the natural equivalence of the categories of (pre)cat(1)-Leibniz algebras and that of (pre)crossed modules, we construct the split extension classifier of the corresponding (pre)crossed module.
dc.description.sponsorshipTUBITAK grant Konuk veya Akademik Izinli Bilim Insani Destekleme Programi [2221]
dc.description.sponsorshipWe would like to thank the referee and G. Janelidze for their suggestions espacially about the definition of Modified categories of interest which improved the work. Also, we would like to thank T. Datuashvili for valuable comments and suggestions while her visit to Eskisehir Osmangazi University supported by TUBITAK grant 2221 Konuk veya Akademik Izinli Bilim Insani Destekleme Programi.
dc.identifier.doi10.1080/00927872.2016.1226853
dc.identifier.endpage1841en_US
dc.identifier.issn0092-7872
dc.identifier.issn1532-4125
dc.identifier.issue5en_US
dc.identifier.scopusqualityQ2
dc.identifier.startpage1825en_US
dc.identifier.urihttps://doi.org/10.1080/00927872.2016.1226853
dc.identifier.urihttps://hdl.handle.net/20.500.12451/4382
dc.identifier.volume45en_US
dc.identifier.wosWOS:000390885700001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTAYLOR & FRANCIS INC
dc.relation.ispartofCOMMUNICATIONS IN ALGEBRA
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAction
dc.subjectActor
dc.subjectPrecrossed Module
dc.subjectSplit Extension Classifier
dc.titleRepresentability of actions in the category of (Pre)crossed modules in Leibniz algebras
dc.typeArticle

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