Investigating generalized quaternions with dual-generalized complex numbers

Nurten Gürses; Gülsüm Yeliz Şentürk; Salim Yüce

Mathematica Bohemica (2023)

  • Volume: 148, Issue: 3, page 329-348
  • ISSN: 0862-7959

Abstract

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We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values α , β and 𝔭 . Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.

How to cite

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Gürses, Nurten, Şentürk, Gülsüm Yeliz, and Yüce, Salim. "Investigating generalized quaternions with dual-generalized complex numbers." Mathematica Bohemica 148.3 (2023): 329-348. <http://eudml.org/doc/299104>.

@article{Gürses2023,
abstract = {We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha $, $\beta $ and $\mathfrak \{p\}$. Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.},
author = {Gürses, Nurten, Şentürk, Gülsüm Yeliz, Yüce, Salim},
journal = {Mathematica Bohemica},
keywords = {generalized quaternion; dual-generalized complex number; matrix representation},
language = {eng},
number = {3},
pages = {329-348},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Investigating generalized quaternions with dual-generalized complex numbers},
url = {http://eudml.org/doc/299104},
volume = {148},
year = {2023},
}

TY - JOUR
AU - Gürses, Nurten
AU - Şentürk, Gülsüm Yeliz
AU - Yüce, Salim
TI - Investigating generalized quaternions with dual-generalized complex numbers
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 3
SP - 329
EP - 348
AB - We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha $, $\beta $ and $\mathfrak {p}$. Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.
LA - eng
KW - generalized quaternion; dual-generalized complex number; matrix representation
UR - http://eudml.org/doc/299104
ER -

References

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