Şahan, TunçarErciyes, Ayhan2021-10-282021-10-282019-02-01https://doi.org/10.31801/cfsuasmas.453582http://hdl.handle.net/20.500.12575/75805The 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.enLeibniz algebraGroupoid actionCoveringArticle6816196322618-6470