17 citations · 77 across the 48 of their papers we have counts for
6 papers · 1 filter
Some properties of symbol algebras of degree three
Cristina Flaut, Diana Savin
In this paper we will study some properties of the matrix representations of symbol algebras of degree three, we study some equations with coefficients in these algebras, we find a…
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…
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.
Cyclic codes over some special rings
Cristina Flaut
In this paper we will study cyclic codes over some special rings: F_{q}[u]/(u^{i}), F_{q}[u_1,...u_{i}]/(u_1^2,u_2^2,...,u_{i}^2, u_1 u_2 - u_2 u_1,...,u_{i}u_{j} - u_{j}u_{i},...)…
Isotropy of some quadratic forms and its applications on levels and sublevels of algebras
Cristina Flaut
In this paper, we give some properties of the levels and sublevels of algebras obtained by the Cayley-Dickson process. We will emphasize how isotropy of some quadratic forms can in…
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.