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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 1

Pullback crossed modules in the category of racks

Kadir Emir
Hatice Gülsün Akay
Pages
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Publication Date
2019-02-01
DOI
—
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AI Summary & Key Takeaways

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

Furthermore, we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we define the pullback crossed modules in the category of racks that are mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows.
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Key Findings & Data:In this paper, we define the pullback crossed modules in the category of racks that are mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows.
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Conclusion & Impact:Furthermore, we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:rack · crossed module · limit

Abstract

In this paper, we define the pullback crossed modules in the category of racks that are mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows. Furthermore, we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules.

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Cite This Article

Emir, K., Akay, H. G. (2019). Pullback crossed modules in the category of racks. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 1. https://ajindex.com/articles/1402838

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