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Journals / Sakarya University Journal of Science / 2026 / Volume: 23 Issue: 4

Categories internal to crossed modules

Tunçar Şahan(AKSARAY UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICS)0000-0002-6552-4695
Jihad Jamil Mohammed(Wan Primary School)0000-0001-5633-0971
Pages
—
Publication Date
2019-08-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we obtain examples of crossed squares using this equivalence.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, internal categories in the category of the crossed modules are characterized and it has been shown that there is a natural equivalence between the category of crossed modules over crossed modules, i.e. crossed squares and the category of the internal categories within the category of crossed modules.
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Key Findings & Data:In this study, internal categories in the category of the crossed modules are characterized and it has been shown that there is a natural equivalence between the category of crossed modules over crossed modules, i.e. crossed squares and the category of the internal categories within the category of crossed modules.
💡
Conclusion & Impact:Finally, we obtain examples of crossed squares using this equivalence.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Crossed module · internal category · crossed square

Abstract

In this study, internal categories in the category of the crossed modules are characterized and it has been shown that there is a natural equivalence between the category of crossed modules over crossed modules, i.e. crossed squares and the category of the internal categories within the category of crossed modules. Finally, we obtain examples of crossed squares using this equivalence.

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Cite This Article

Şahan, T., Mohammed, J. J. (2019). Categories internal to crossed modules. Sakarya University Journal of Science, Volume: 23 Issue: 4. https://doi.org/10.16984/saufenbilder.472805

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