On tertions and other algebraic objects

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 29, 2023, Number 4, Pages 861–880
DOI: 10.7546/nntdm.2023.29.4.861-880
Full paper (PDF, 267 Kb)

Details

Authors and affiliations

Krassimir T. Atanassov
Dept. of Bioinformatics and Mathematical Modelling,
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
Intelligent Systems Laboratory
Prof. Asen Zlatarov University, Bourgas-8000, Bulgaria

Abstract

The concept of the object called “tertion” is discussed. Some operations over tertions are introduced and their properties are studied. The relationship between tertions, complex numbers are quaternions are discussed.

Keywords

• Complex number
• Quaternion
• Tertion

2020 Mathematics Subject Classification

• 20G20
• 97F50

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Manuscript history

• Received: 19 October 2023
• Revised: 17 November 2023
• Accepted: 6 December 2023
• Online First: 29 December 2023

Copyright information

Ⓒ 2023 by the Author.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).