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Journals / Journal of New Theory / 2022 / Cilt: - Sayı: 40

4-Dimensional 2-Crossed Modules

Elis SOYLU YILMAZ
Pages
46–53
Publication Date
2022-11-06
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we defined a new category called 4-Dimensional 2-crossed modules.
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Key Findings & Data:We then exemplified subobjects and ideals in the category of 4-Dimensional 2-crossed modules.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Crossed Module · subobject · ideal

Abstract

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.

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Cite This Article

YILMAZ, E. S. (2022). 4-Dimensional 2-Crossed Modules. Journal of New Theory, Cilt: - Sayı: 40, 46–53. https://ajindex.com/articles/652497

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