On the Semisimilarity and Consemisimilarity of Split Quaternions
Advances in Applied Clifford Algebras, cilt.26, sa.2, ss.847-859, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 26 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.1007/s00006-015-0633-y
- Dergi Adı: Advances in Applied Clifford Algebras
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.847-859
- Anahtar Kelimeler: semiconsimilarity, semisimilarity, Split quaternion
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
© 2015, Springer International Publishing.In this study, we introduce the concept of semisimilarity and consemisimilarity of split quaternions. Moreover, we examine the solvability conditions and general solutions of systems xay= b, ybx= aand x~ ay= b, y~ bx= a in split quaternions. If there exist x and y that satisfy first equations system, then a and b are said to be semisimilar, if there exist x and y that satisfy second equations system, then a and b are said to be consemisimilar.