Browsing by Author "Erciyes, Ayhan"

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    Actions of internal groupoids in the category of Leibniz algebras
    (Ankara Üniversitesi Fen Fakültesi, 2019-02-01) Şahan, Tunçar; Erciyes, Ayhan; Other; Other
    The 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.