V. Chatyrko

collaborators

4 papers

math.RA2025

Simple polynomial equations over (mxm)-matrices

Vitalij A. Chatyrko, Alexandre Karassev

Let $m$ be any integer $\geq 3$ . We consider the polynomial equation $X^{n} + a_{n - 1} \cdot X^{n - 1} + \dots + a_{1} \cdot X + a_{0} \cdot I = O,$ over $(m \times m)$ -matrices $X$ with t…

math.RA2025

Simple polynomial equations over $(2 \times 2)$ -matrices

Vitalij A. Chatyrko, Alexandre Karassev

We consider the polynomial equation $X^{n} + a_{n - 1} \cdot X^{n - 1} + \dots + a_{1} \cdot X + a_{0} \cdot I = O,$ over $(2 \times 2)$ -matrices $X$ with the real entries, where $I$ is the…

math.GN2025

On structural numbers of topological spaces

Vitalij Chatyrko, Alexandre Karassev

Zero-dimensional structural numbers $Z_{0}^{ind}$ and $Z_{0}^{dim}$ w.r.t. dimensions $ind$ and $dim$ were introduced by Georgiou, Hattori, Megariti…

math.GN2024

On a modification of finite-dimensional Niemytzki spaces

Vitalij A. Chatyrko

In this paper we extend the construction of the Niemytzki plane to dimension $n \geq 3$ . Further, we consider a poset of topologies on the closed $n$ -dimensional Euclidean half-spa…

Simple polynomial equations over (mxm)-matrices

Simple polynomial equations over (2×2)-matrices

On structural numbers of topological spaces

On a modification of finite-dimensional Niemytzki spaces

Simple polynomial equations over $(2 \times 2)$ -matrices