A New Class of Leonardo Hybrid Numbers and Some Remarks on Leonardo Quaternions over Finite Fields

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dc.authoridYılmaz, Semih/0000-0003-3171-8763
dc.authoridSavin, Diana/0000-0002-0279-3871
dc.authoridTan, Elif/0000-0002-8381-8750
dc.contributor.authorTan, Elif
dc.contributor.authorSavin, Diana
dc.contributor.authorYılmaz, Semih
dc.date.accessioned2025-01-21T16:35:03Z
dc.date.available2025-01-21T16:35:03Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we present a new class of Leonardo hybrid numbers that incorporate quantum integers into their components. This advancement presents a broader generalization of the q-Leonardo hybrid numbers. We explore some fundamental properties associated with these numbers. Moreover, we study special Leonardo quaternions over finite fields. In particular, we determine the Leonardo quaternions that are zero divisors or invertible elements in the quaternion algebra over the finite field Zp for special values of prime integer p.
dc.identifier.doi10.3390/math11224701
dc.identifier.issn2227-7390
dc.identifier.issue22
dc.identifier.scopus2-s2.0-85178097035
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math11224701
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24069
dc.identifier.volume11
dc.identifier.wosWOS:001113912600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjecthybrid numbers; quaternions; Fibonacci numbers; Leonardo numbers; quantum integer; zero divisor; finite fields
dc.titleA New Class of Leonardo Hybrid Numbers and Some Remarks on Leonardo Quaternions over Finite Fields
dc.typeArticle

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