Hyper-Number Generalized Quaternions
| dc.authorid | Ozyurt, Gozde/0000-0001-8722-4872 | |
| dc.contributor.author | Alagoz, Y. | |
| dc.contributor.author | Ozyurt, G. | |
| dc.date.accessioned | 2025-03-09T10:48:48Z | |
| dc.date.available | 2025-03-09T10:48:48Z | |
| dc.date.issued | 2024 | |
| dc.department | İstanbul Beykent Üniversitesi | |
| dc.description.abstract | 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. | |
| dc.identifier.doi | 10.1134/S0965542524700337 | |
| dc.identifier.endpage | 917 | |
| dc.identifier.issn | 0965-5425 | |
| dc.identifier.issn | 1555-6662 | |
| dc.identifier.issue | 5 | |
| dc.identifier.scopus | 2-s2.0-85196168959 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 908 | |
| dc.identifier.uri | https://doi.org/10.1134/S0965542524700337 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12662/4666 | |
| dc.identifier.volume | 64 | |
| dc.identifier.wos | WOS:001249179300004 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Pleiades Publishing Inc | |
| dc.relation.ispartof | Computational Mathematics and Mathematical Physics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250310 | |
| dc.subject | hyper-number | |
| dc.subject | generalized quaternion | |
| dc.subject | hyper-number generalized quaternion | |
| dc.title | Hyper-Number Generalized Quaternions | |
| dc.type | Article |
