### Electronic Research Archive

2020, Issue 3: 1227-1238. doi: 10.3934/era.2020067
Special Issues

# Colimits of crossed modules in modified categories of interest

• Received: 01 April 2020 Revised: 01 May 2020
• Primary: 17A30; Secondary: 18G45, 18A30

• 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.

Citation: Ali Aytekin, Kadir Emir. Colimits of crossed modules in modified categories of interest[J]. Electronic Research Archive, 2020, 28(3): 1227-1238. doi: 10.3934/era.2020067

### Related Papers:

• 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.

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