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## Categories internal to crossed modules

#### Tunçar ŞAHAN [1] , Jihad Jamil MOHAMMED [2]

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.

Crossed module, internal category, crossed square
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Primary Language en Mathematics August 2019 Research Articles Orcid: 0000-0002-6552-4695Author: Tunçar ŞAHAN (Primary Author)Institution: AKSARAY UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICSCountry: Turkey Orcid: 0000-0001-5633-0971Author: Jihad Jamil MOHAMMED Institution: Wan Primary SchoolCountry: Iraq Application Date : October 20, 2018 Acceptance Date : December 20, 2018 Publication Date : August 1, 2019
 Bibtex @research article { saufenbilder472805, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {}, publisher = {Sakarya University}, year = {2019}, volume = {23}, pages = {519 - 531}, doi = {10.16984/saufenbilder.472805}, title = {Categories internal to crossed modules}, key = {cite}, author = {ŞAHAN, Tunçar and MOHAMMED, Jihad Jamil} } APA ŞAHAN, T , MOHAMMED, J . (2019). Categories internal to crossed modules. Sakarya University Journal of Science , 23 (4) , 519-531 . DOI: 10.16984/saufenbilder.472805 MLA ŞAHAN, T , MOHAMMED, J . "Categories internal to crossed modules". Sakarya University Journal of Science 23 (2019 ): 519-531 Chicago ŞAHAN, T , MOHAMMED, J . "Categories internal to crossed modules". Sakarya University Journal of Science 23 (2019 ): 519-531 RIS TY - JOUR T1 - Categories internal to crossed modules AU - Tunçar ŞAHAN , Jihad Jamil MOHAMMED Y1 - 2019 PY - 2019 N1 - doi: 10.16984/saufenbilder.472805 DO - 10.16984/saufenbilder.472805 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 519 EP - 531 VL - 23 IS - 4 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.472805 UR - https://doi.org/10.16984/saufenbilder.472805 Y2 - 2018 ER - EndNote %0 Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi Categories internal to crossed modules %A Tunçar ŞAHAN , Jihad Jamil MOHAMMED %T Categories internal to crossed modules %D 2019 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 23 %N 4 %R doi: 10.16984/saufenbilder.472805 %U 10.16984/saufenbilder.472805 ISNAD ŞAHAN, Tunçar , MOHAMMED, Jihad Jamil . "Categories internal to crossed modules". Sakarya University Journal of Science 23 / 4 (August 2019): 519-531 . https://doi.org/10.16984/saufenbilder.472805 AMA ŞAHAN T , MOHAMMED J . Categories internal to crossed modules. SAUJS. 2019; 23(4): 519-531. Vancouver ŞAHAN T , MOHAMMED J . Categories internal to crossed modules. Sakarya University Journal of Science. 2019; 23(4): 531-519.

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