Colimits of crossed modules in modified categories of interest

Ali Aytekin, ,Department of Mathematics, Pamukkale University, Denizli, Turkey, Kadir Emir, ,Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic
2020 Electronic Research Archive  
In this paper, we give the constructions of the coequalizer and coproduct objects for the category of crossed modules, in a modified category of interest (MCI). In other words, we prove that the corresponding category is finitely cocomplete.
doi:10.3934/era.2020067 fatcat:x34ad2wrlbgojijpqicxyrnhx4