Peter V. Danchev

collaborators

2 papers

math.RA2026

Matrices over Finite Fields of Characteristic 2 as Sums of Diagonalizable and Square-Zero Matrices

Peter Danchev, Esther GarcÃa, Miguel GÃ³mez Lozano

We investigate the problem asking when any square matrix whose entries lie in a finite field of characteristic 2 is decomposable into the sum of a diagonalizable matrix and a nilpo…

math.RA2025

Finite fields whose members are the sum of a potent and a 4-potent

Stephen D. Cohen, Peter V. Danchev, TomÃ¡s Oliveira e Silva

We classify those finite fields $F_{q}$ , for $q$ a power of some fixed prime number, whose members are the sum of an $n$ -potent element with $n > 1$ and a 4-potent element. It…