3 papers
math.RA2025
Some remarks regarding special elements in algebras obtained by the Cayley-Dickson process over Zp
Cristina Flaut, Andreea Baias
In this paper we provide some properties of k-potent elements in algebras obtained by the Cayley-Dickson process over Zp. Moreover, we find a structure of nonunitary ring over Fibo…
math.RA2024
The number of k-potent elements in the quaternion algebra HZp
Cristina Flaut, Andreea Baias
In this paper we count the number of k-potent elements over HZp , the quaternion algebra over Zp, and we give a descriptive formula for the general case. For k in {3, 4, 5}, we giv…
math.RA2024
Remarks regarding some special matrices
Cristina Flaut, Andreea Baias
In this paper, by using matix representation for quaternions andoctonions, we provide a procedure to obtain some example of k potent matrices of order 4 or 8, over the real field o…