Peter V. Danchev

collaborators

Showing math.RAShow all

3 papers · 1 filter

math.RA2026

Generalized $t$ -Fine and Quasi $t$ -Fine Rings

Mai Hoang Bien, Peter Vassilev Danchev, Mojtaba Ramezan-Nassab

Fine rings and generalized fine rings have been extensively studied through additive decompositions involving units and nilpotent elements. In this paper, we develop analogous deco…

math.RA2026

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

Peter Danchev, Esther García, Miguel Gómez 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, Tomás 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…

Generalized t-Fine and Quasi t-Fine Rings

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

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

Generalized $t$ -Fine and Quasi $t$ -Fine Rings