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Tribonacci and Tribonacci-Lucas Sedenions

Author

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  • Yüksel Soykan

    (Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100 Zonguldak, Turkey)

Abstract

The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.

Suggested Citation

  • Yüksel Soykan, 2019. "Tribonacci and Tribonacci-Lucas Sedenions," Mathematics, MDPI, vol. 7(1), pages 1-19, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:74-:d:197009
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    References listed on IDEAS

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    1. Juan Li & Zhaolin Jiang & Fuliang Lu, 2014. "Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, May.
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    Cited by:

    1. Yüksel Soykan & Erkan Taşdemir & İnci Okumuş, 2023. "On dual hyperbolic numbers with generalized Jacobsthal numbers components," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(3), pages 824-840, September.
    2. Yüksel Soykan, 2021. "On dual hyperbolic generalized Fibonacci numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(1), pages 62-78, March.
    3. Kavita Saini & Kuldip Raj, 2021. "On generalization for Tribonacci Trigintaduonions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(2), pages 420-428, June.

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