Algebraic structure and basics of analysis of n-dimensional quaternionic space
Heliyon, cilt.7, sa.6, 2021 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 6
- Basım Tarihi: 2021
- Doi Numarası: 10.1016/j.heliyon.2021.e07375
- Dergi Adı: Heliyon
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, CAB Abstracts, Food Science & Technology Abstracts, Veterinary Science Database, Directory of Open Access Journals
- Anahtar Kelimeler: Symplectic geometry, n-Dimensional quaternionic space, Componentwise multiplication
- İstanbul Gelişim Üniversitesi Adresli: Hayır
Özet
In this study, we focused on n-dimensional quaternionic space Hn. To create the module structure, first part is devoted to define a metric depending on the product order relation of Rn. The set of Hn has been rewritten with a different representation of n-vectors. Using this notation, formulations corresponding to the basic operations in Hn are obtained. By adhering these representations, module structure of Hn over the set of real ordered n-tuples is given. Afterwards, we gave limit, continuity and the derivative basics of quaternion valued functions of a real variable.