On Companion sequences associated with Leonardo quaternions: Applications over finite fields
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916570465304576 |
|---|---|
| author | Savin, Diana Tan, Elif |
| author_facet | Savin, Diana Tan, Elif |
| contents | It is known that the quaternion algebras are central simple algebras and also clifford algebras. In this paper, we introduce a new class of quaternions called Lucas-Leonardo p-quaternions and derive several fundamental properties of these numbers. Furthermore, we investigate some applications related to companion sequences associated with Leonardo quaternions. In particular, we determine Lucas-Leonardo quaternions and Francois quaternions, which are zero divisors and invertible elements in the quaternion algebra over certain finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01592 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Companion sequences associated with Leonardo quaternions: Applications over finite fields Savin, Diana Tan, Elif Combinatorics 11B37, 11B39, 11R52, 16G30 It is known that the quaternion algebras are central simple algebras and also clifford algebras. In this paper, we introduce a new class of quaternions called Lucas-Leonardo p-quaternions and derive several fundamental properties of these numbers. Furthermore, we investigate some applications related to companion sequences associated with Leonardo quaternions. In particular, we determine Lucas-Leonardo quaternions and Francois quaternions, which are zero divisors and invertible elements in the quaternion algebra over certain finite fields. |
| title | On Companion sequences associated with Leonardo quaternions: Applications over finite fields |
| topic | Combinatorics 11B37, 11B39, 11R52, 16G30 |
| url | https://arxiv.org/abs/2403.01592 |