17 citations · 77 across the 48 of their papers we have counts for
4 papers · 2 filters
An efficient method for solving equations in generalized quaternion and octonion algebras
Cristina Flaut, Vitalii Shpakivskyi
Quaternions often appear in wide areas of applied science and engineering such as wireless communications systems, mechanics, etc. It is known that are two types of non-isomorphic…
De Moivre's Formula and Euler's Formula for Octonions
Cristina Flaut, Vitalii Shpakivskyi
In this paper, we generalized De Moivre's formula and Euler's formula to octonions and find the roots of generalized octonions using these formulae.
A Clifford algebra associated to generalized Fibonacci quaternions
Cristina Flaut
In this paper we find a Clifford algebra associated to generalized Fibonacci quaternions. In this way, we provide a nice algorithm to obtain a division quaternion algebra starting…
About some properties of algebras obtained by the Cayley-Dickson process
Cristina Flaut
This paper is a short survey about some properties of algebras ob- tained by the Cayley-Dickson process and some of their applications.