Categories internal to crossed modules

Inthis study, internal categories in the category of the crossed modules arecharacterized and it has been shown that there is a natural equivalence betweenthe category of crossed modules over crossed modules, i.e. crossed squares andthe category of the internal categories within the category of cros...

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Bibliographic Details
Main Authors: Tunçar Şahan, Jihad Jamil Mohammed
Format: Article
Language:English
Published: Sakarya University 2019-08-01
Series:Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Online Access:https://dergipark.org.tr/tr/download/article-file/649081
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Summary:Inthis study, internal categories in the category of the crossed modules arecharacterized and it has been shown that there is a natural equivalence betweenthe category of crossed modules over crossed modules, i.e. crossed squares andthe category of the internal categories within the category of crossed modules.Finally, we obtain examples of crossed squares using this equivalence.
ISSN:2147-835X