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

Cristina Flaut and Diana Savin

Chaos, Solitons & Fractals, 2019, vol. 118, issue C, 112-116

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.

Keywords: Quaternion algebras; Octonion algebras; Cayley-Dickson algebras; Special sequences (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:118:y:2019:i:c:p:112-116

DOI: 10.1016/j.chaos.2018.11.002

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