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Öğe Generalized crossed modules and group-groupoids(Tubitak Scientific & Technological Research Council Turkey, 2017) Gursoy, Mustafa Habil; Aslan, Hatice; Icen, IlhanIn this present work, we present the concept of a crossed module over generalized groups and we call it a generalized crossed module. We also define a generalized group-groupoid. Furthermore, we show that the category of generalized crossed modules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.