Some new properties of octonionic matrices

被引：0
|
作者：
Bektas, Ozcan [1 ]
Yuce, Salim [2 ]
机构：
[1] Univ Samsun, Dept Fundamental Sci, TR-55060 Samsun, Turkiye
[2] Yildiz Tech Univ, Dept Math, TR-34349 Istanbul, Turkiye
来源：
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2023年 / 41卷 / 04期
关键词：
Octonion; Matrix; Module; REPRESENTATION;
D O I：
10.14744/sigma.2023.00092
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this study, firstly, real, complex and quaternion combinations of octonionic matrices are defined. In terms of these defined combinations, basic operations of octonionic matrices are given. Later, algebraic structures of octonionic matrix set are obtained. In addition, the modulus structures of the octonionic matrix set on the real, complex and quaternion matrix sets are examined. Bases and dimension of octonionic matrix sets with modulus structure have been found. Finally, special octonionic matrices and transpose, conjugate, trace of octonionic matrices are given.
引用
收藏
页码：848 / 857
页数：10
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