A Note on 4-Dimensional 2-Crossed Modules
The study presents the direct product of two objects in the category of 4-dimensional 2-crossed modules. The structures of the domain, kernel, image, and codomain can be related using isomorphism theorems by defining the kernel and image of a morphism in a category. It then establishes the kernel...
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| Format: | Article |
| Language: | English |
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Naim Çağman
2023-03-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2788600 |
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| _version_ | 1849723691222433792 |
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| author | Koray Yılmaz |
| author_facet | Koray Yılmaz |
| author_sort | Koray Yılmaz |
| collection | DOAJ |
| description | The study presents the direct product of two objects in the category of 4-dimensional 2-crossed modules. The structures of the domain, kernel, image, and codomain can be related using isomorphism theorems by defining the kernel and image of a morphism in a category. It then establishes the kernel and image of a morphism in the category of 4-dimensional 2-crossed modules to apply isomorphism theorems. These isomorphism theorems provide a powerful tool to understand the properties of this category. Moreover, isomorphism theorems in 4-dimensional 2-crossed modules allow us to establish connections between different algebraic structures and simplify complicated computations. Lastly, the present research inquires whether additional studies should be conducted. |
| format | Article |
| id | doaj-art-0e9a956100d3460b8bbf7dbb4bcbe848 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-0e9a956100d3460b8bbf7dbb4bcbe8482025-08-20T03:10:57ZengNaim ÇağmanJournal of New Theory2149-14022023-03-0142869310.53570/jnt.12086332425A Note on 4-Dimensional 2-Crossed ModulesKoray Yılmaz0https://orcid.org/0000-0002-8641-0603DUMLUPINAR ÜNİVERSİTESİThe study presents the direct product of two objects in the category of 4-dimensional 2-crossed modules. The structures of the domain, kernel, image, and codomain can be related using isomorphism theorems by defining the kernel and image of a morphism in a category. It then establishes the kernel and image of a morphism in the category of 4-dimensional 2-crossed modules to apply isomorphism theorems. These isomorphism theorems provide a powerful tool to understand the properties of this category. Moreover, isomorphism theorems in 4-dimensional 2-crossed modules allow us to establish connections between different algebraic structures and simplify complicated computations. Lastly, the present research inquires whether additional studies should be conducted.https://dergipark.org.tr/en/download/article-file/2788600crossed modulekernelimagecategory |
| spellingShingle | Koray Yılmaz A Note on 4-Dimensional 2-Crossed Modules Journal of New Theory crossed module kernel image category |
| title | A Note on 4-Dimensional 2-Crossed Modules |
| title_full | A Note on 4-Dimensional 2-Crossed Modules |
| title_fullStr | A Note on 4-Dimensional 2-Crossed Modules |
| title_full_unstemmed | A Note on 4-Dimensional 2-Crossed Modules |
| title_short | A Note on 4-Dimensional 2-Crossed Modules |
| title_sort | note on 4 dimensional 2 crossed modules |
| topic | crossed module kernel image category |
| url | https://dergipark.org.tr/en/download/article-file/2788600 |
| work_keys_str_mv | AT korayyılmaz anoteon4dimensional2crossedmodules AT korayyılmaz noteon4dimensional2crossedmodules |