Hyper-Number Generalized Quaternions
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pleiades Publishing Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The main aim of this paper is to introduce generalized quaternions with hyper-number coefficients. For this, firstly, a new number system is defined, which is the generalization of bicomplex numbers, hyper-double numbers and hyper-dual numbers. And any element of this generalization is called a hyper-number. Then, real matrix representation and vector representation of a hyper-number are given. Secondly, hyper-number generalized quaternions and their algebraic properties are introduced. For a hyper-number generalized quaternion, 4 x 4 real generalized quaternion matrix representation is presented. Next, because of lack of commutativity, for a hyper-number generalized quaternion, two different hyper-number matrix representations are calculated. Moreover, real matrix representations of a hyper-number generalized quaternion is expressed by matrix representation of a hyper-number. Finally, vector representations of a hyper-number generalized quaternion are given and properties of this representations are investigated.
Açıklama
Anahtar Kelimeler
hyper-number, generalized quaternion, hyper-number generalized quaternion
Kaynak
Computational Mathematics and Mathematical Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
64
Sayı
5
