Pullback crossed modules in the category of racks

Year 2019, Volume: 48 Issue: 1, 140 - 149, 01.02.2019

Kadir Emir Hatice Gülsün Akay

https://izlik.org/JA52WT78TZ

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

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