TY  - JOUR
T1  - New insight into quaternions and their matrices
AU  - Yüce, Salim
AU  - Şentürk, Gülsüm Yeliz
AU  - Gürses, Nurten
PY  - 2023
DA  - March
Y2  - 2022
DO  - 10.31801/cfsuasmas.1074557
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 43
EP  - 58
VL  - 72
IS  - 1
LA  - en
AB  - 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.
KW  - Generalized quaternion
KW  - generalized complex number
KW  - matrix representation
KW  - elliptic number.
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UR  - https://doi.org/10.31801/cfsuasmas.1074557
L1  - https://dergipark.org.tr/en/download/article-file/2257373
ER  -