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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2026 / Cilt: 25 Sayı: 4

On SS-Supplemented Subhypergroups of Finite Canonical Hypergroups

Sonlu Kanonik Hipergrupların SS-Tümlenmiş Althipergrupları Üzerine

Sena Cam(AMASYA ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)0009-0005-8355-7203
Burcu Nişancı Türkmen(AMASYA ÜNİVERSİTESİ)0000-0001-7900-0529
Yıldız Aydın(ISTANBUL GELISIM UNIVERSITY, İSTANBUL GELİŞİM VOCATIONAL SCHOOL, DEPARTMENT OF ELECTRONICS AND AUTOMATION)0000-0001-9061-0109
Pages
757–766
Publication Date
2025-08-04
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AI Summary & Key Takeaways

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

Thus, the property of having an SS-supplemented subhypergroup has been characterized in solvable hypergroups.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the concept of SS-supplemented subgroups of finite groups existing in the literature is interpreted in finite canonical hypergroups.
📊
Key Findings & Data:It has been observed that every SS-supplemented subhypergroup is also SS-supplemented in its subhypergroup.
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Conclusion & Impact:Thus, the property of having an SS-supplemented subhypergroup has been characterized in solvable hypergroups.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Sonlu Kanonik Hipergrup · Güçlü Normal Althipergrup · ÇözülebilirAlthipergrup

Abstract

In this study, the concept of SS-supplemented subgroups of finite groups existing in the literature is interpreted in finite canonical hypergroups. It has been observed that every SS-supplemented subhypergroup is also SS-supplemented in its subhypergroup. As a striking result in hyperstructures, it has been proven that every factor hypergroup of an SS-supplemented hypergroup is SS-supplemented compared to the strong normal subhypergroup. It has been observed that hyperalgebraic structure properties are preserved in solvable hypergroups. Thus, the property of having an SS-supplemented subhypergroup has been characterized in solvable hypergroups.

Özet

Bu çalışmada literatürde var olan sonlu grupların SS-tümlenmiş altgrupları kavramı, sonlu kanonik hipergruplarda yorumlanmıştır. SS-tümlenmiş her althipergrubun althipergrubunda da ss-tümlenmiş olduğu görülmüştür. Hiperyapılarda çarpıcı bir sonuç olarak SS-tümlenmiş bir hipergrubun güçlü normal althipergruba göre her bölüm hipergrubunun SS-tümlenmiş olduğu ispatlanmıştır. Hipercebirsel yapı özelliklerinin çözülebilir hipergruplarda korunduğu görülmüştür. Böylece SS-tümleyen althipergruba sahip olma özelliği çözülebilir hipergruplarda karakterize edilmiştir.

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Cite This Article

Cam, S., Türkmen, B. N., Aydın, Y. (2025). On SS-Supplemented Subhypergroups of Finite Canonical Hypergroups. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 25 Sayı: 4, 757–766. https://doi.org/10.35414/akufemubid.1565249

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