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Some remarks regarding l-elements defined in algebras obtained by the Cayley–Dickson process

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  • Flaut, Cristina
  • Savin, Diana

Abstract

In this paper, we define a special class of elements in the algebras obtained by the Cayley–Dickson process, called l− elements. We find conditions such that these elements to be invertible. These conditions can be very useful for finding new identities, identities which can help us in the study of the properties of these algebras.

Suggested Citation

  • Flaut, Cristina & Savin, Diana, 2019. "Some remarks regarding l-elements defined in algebras obtained by the Cayley–Dickson process," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 112-116.
    • Handle: RePEc:eee:chsofr:v:118:y:2019:i:c:p:112-116
    DOI: 10.1016/j.chaos.2018.11.002
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    References listed on IDEAS

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    1. Basu, Manjusri & Prasad, Bandhu, 2009. "The generalized relations among the code elements for Fibonacci coding theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2517-2525.
    2. Falcón, Sergio & Plaza, Ángel, 2007. "On the Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1615-1624.
    3. Flaut, Cristina & Savin, Diana, 2018. "Some special number sequences obtained from a difference equation of degree three," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 67-71.
    4. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
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    Cited by:

    1. Mücahit Akbiyik & Jeta Alo, 2021. "On Third-Order Bronze Fibonacci Numbers," Mathematics, MDPI, vol. 9(20), pages 1-14, October.

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