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math.RA2012
Real matrix representations for the complex quaternions
Cristina Flaut, Vitalii Shpakivskyi
Starting from known results, due to Y. Tian in [Ti; 00], referring to the real matrix representations of the real quaternions, in this paper we will investigate the left and right…
math.RA2012★ 6 cited
On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions
Cristina Flaut, Vitalii Shpakivskyi
In this paper, we investigate some properties of generalized Fibonacci quaternions and Fibonacci-Narayana quaternions.
math.RA2012
Some identities in algebras obtained by the Cayley-Dickson process
Cristina Flaut, Vitalii Shpakivskyi
In this paper we will prove that the Hall identity is true in all algebras obtained by the Cayley-Dickson process and, in some conditions, the converse is also true.