Generalized crossed modules and group-groupoids

Authors: MUSTAFA HABİL GÜRSOY, HATİCE ASLAN, İLHAN İÇEN

Abstract: In this present work, we present the concept of a crossed module over generalized groupsand we call it a "generalized crossed module". We also define a generalizedgroup-groupoid. Furthermore, we show that the category of generalized crossedmodules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.

Keywords: Groupoid, crossed module, generalized group

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