Colimits of crossed modules in modified categories of interest

Ali Aytekin; Kadir Emir; Ali Aytekin; Kadir Emir

doi:10.3934/era.2020067

Electronic Research Archive

2020, Volume 28, Issue 3: 1227-1238. doi: 10.3934/era.2020067

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Colimits of crossed modules in modified categories of interest

Ali Aytekin ^{1
,},
Kadir Emir ^{2
,
,}

1.
Department of Mathematics, Pamukkale University, Denizli, Turkey
2.
Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

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.
- Colimit,
- crossed module,
- modified category of interest
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

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Abstract

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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