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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2023 / Cilt: 72 Sayı: 1

New insight into quaternions and their matrices

Gülsüm Yeliz ŞENTÜRK
Nurten GÜRSES
Salim YÜCE
Pages
43–58
Publication Date
2023-03-30
DOI
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AI Summary & Key Takeaways

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

An alternative approach for a generalized quaternion matrix with elliptic number entries has been developed as a crucial part.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper aims to bring together quaternions and generalized complex numbers.
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Key Findings & Data:Generalized quaternions with generalized complex number components are expressed and their algebraic structures are examined.
💡
Conclusion & Impact:An alternative approach for a generalized quaternion matrix with elliptic number entries has been developed as a crucial part.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized quaternion · generalized complex number · matrix representation

Abstract

This paper aims to bring together quaternions and generalized complex numbers. Generalized quaternions with generalized complex number components are expressed and their algebraic structures are examined. Several matrix representations and computational results are introduced. An alternative approach for a generalized quaternion matrix with elliptic number entries has been developed as a crucial part.

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Cite This Article

ŞENTÜRK, G. Y., GÜRSES, N., YÜCE, S. (2023). New insight into quaternions and their matrices. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 72 Sayı: 1, 43–58. https://ajindex.com/articles/903574

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