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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 2

Hypergroups and their pullback and pushout structures

Bijan DAVVAZ
Murat ALP
Pages
237–250
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

The denition of hypergroups generated by sets plays vital roles throughout the paper.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Hypergroups in the sense of Marty are very important and a rather difficult subject to be understood since they do not generally have any identity or inverse element.
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Key Findings & Data:Crossed modules are one of the most important tools to be applied on groups.
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Conclusion & Impact:The denition of hypergroups generated by sets plays vital roles throughout the paper.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Action · Crossed module · Hypergroup

Abstract

Hypergroups in the sense of Marty are very important and a rather difficult subject to be understood since they do not generally have any identity or inverse element. Crossed modules are one of the most important tools to be applied on groups. In this study, we combine hypergroups and crossed modules to obtain the crossed modules of the hypergroups. We shortly present hypergroups with their properties and examples. In addition two important applications of crossed modules are given. These applications are about pullback and pushout crossed module of hypergroups and their properties. The denition of hypergroups generated by sets plays vital roles throughout the paper.

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Cite This Article

DAVVAZ, B., ALP, M. (2022). Hypergroups and their pullback and pushout structures. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 2, 237–250. https://ajindex.com/articles/530169

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