INVESTIGATING GENERALIZED QUATERNIONS WITH DUAL-GENERALIZED COMPLEX NUMBERS

被引：0
|
作者：
Gurses, Nurten [1 ]
Senturk, Gulsum Yeliz [2 ]
Yuce, Salim [1 ]
机构：
[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, TR-34220 Istanbul, Turkey
[2] Istanbul Gelisim Univ, Fac Engn & Architecture, Dept Comp Engn, TR-34310 Istanbul, Turkey
来源：
MATHEMATICA BOHEMICA | 2020年 / 148卷 / 03期
关键词：
generalized quaternion; dual-generalized complex number; matrix representation;
D O I：
10.21136/MB.2022.0096-21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values alpha, beta 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.
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页码：329 / 348
页数：20
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