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Dergiler / 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
Sayfa
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Yayın Tarihi
2019-08-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Finally, we obtain examples of crossed squares using this equivalence.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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