4-Dimensional 2-Crossed Modules
| Autor: | SOYLU YILMAZ, Elis |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Issue: 40 46-53 Journal of New Theory |
| ISSN: | 2149-1402 |
| DOI: | 10.53570/jnt.1148482 |
| Popis: | In this work, we defined a new category called 4-Dimensional 2-crossed modules. We identified the subobjects and ideals in this category. The notion of the subobject is a generalization of ideas like subsets from set theory, subspaces from topology, and subgroups from group theory. We then exemplified subobjects and ideals in the category of 4-Dimensional 2-crossed modules. A quotient object is the dual concept of a subobject. Concepts like quotient sets, spaces, groups, graphs, etc. are generalized with the notion of a quotient object. Using the ideal, we obtain the quotient of two subobjects and prove that the intersection of finite ideals is also an ideal in this category. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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