Pullback crossed modules in the category of racks

Authors : Kadir EMİR, Hatice GÜLSÜN AKAY

Pages : 140-149

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Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this paper, we define the pullback crossed modules in the category of racks that are mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows. Furthermore, we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules.
Keywords : rack, crossed module, limit