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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sakarya University
2019-08-01
|
| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/649081 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846111450482868224 |
|---|---|
| author | Tunçar Şahan Jihad Jamil Mohammed |
| author_facet | Tunçar Şahan Jihad Jamil Mohammed |
| author_sort | Tunçar Şahan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-187cd8fef4bb437cb3af48055fd6bf63 |
| institution | Kabale University |
| issn | 2147-835X |
| language | English |
| publishDate | 2019-08-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-187cd8fef4bb437cb3af48055fd6bf632024-12-23T08:03:51ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2019-08-0123451953110.16984/saufenbilder.47280528Categories internal to crossed modulesTunçar Şahan0https://orcid.org/0000-0002-6552-4695Jihad Jamil Mohammed1https://orcid.org/0000-0001-5633-0971AKSARAY UNIVERSITY, FACULTY OF SCIENCE AND LETTERS, DEPARTMENT OF MATHEMATICSWan Primary SchoolInthis 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.https://dergipark.org.tr/tr/download/article-file/649081crossed moduleinternal categorycrossed square |
| spellingShingle | Tunçar Şahan Jihad Jamil Mohammed Categories internal to crossed modules Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi crossed module internal category crossed square |
| title | Categories internal to crossed modules |
| title_full | Categories internal to crossed modules |
| title_fullStr | Categories internal to crossed modules |
| title_full_unstemmed | Categories internal to crossed modules |
| title_short | Categories internal to crossed modules |
| title_sort | categories internal to crossed modules |
| topic | crossed module internal category crossed square |
| url | https://dergipark.org.tr/tr/download/article-file/649081 |
| work_keys_str_mv | AT tuncarsahan categoriesinternaltocrossedmodules AT jihadjamilmohammed categoriesinternaltocrossedmodules |