The 2-refined neutrosophic quaternions numbers

Authors

  • Iqbal Ahmed Musa Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia.;
  • Yaser Ahmad Alhasan Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia;
  • Ahmad Abdullah Almekhlef Faculty of science, Department of Mathematics, Albaath university, Syria.;

Keywords:

2-refined; conjugate; division; neutrosophic quaternions numbers; absolute value; product.

Abstract

This paper explores the concept of 2-refined neutrosophic quaternion numbers by first 
introducing their formal definition along with the notion of equality between two such numbers. 
Furthermore, the study develops the foundational algebra of 2-refined neutrosophic quaternions 
through the operations of addition, product, division, and conjugation. The article also addresses the 
methods for calculate both the absolute value and the inverse of a 2-refined neutrosophic quaternion 
number. 

 

DOI: 10.5281/zenodo.15926664

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Published

2025-11-01

Issue

Vol. 90 (2025): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Iqbal Ahmed Musa, Yaser Ahmad Alhasan, & Ahmad Abdullah Almekhlef. (2025). The 2-refined neutrosophic quaternions numbers . Neutrosophic Sets and Systems, 90, 96-107. https://fs.unm.edu/nss8/index.php/111/article/view/6760

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