Edyta Bartnicka

activity

20152025

most citedAffine and Projective Planes Linked with Projective Lines over Certain Rings of Lower Triangular Matrices

1 citations · 1 across the 6 of their papers we have counts for

collaborators

8 papers

math.CO2025

Tops of graphs of projective codes

Edyta Bartnicka

Let $Γ_{k} (V)$ be the Grassmann graph whose vertex set $G_{k} (V)$ is formed by all $k$ -dimensional subspaces of an $n$ -dimensional vector space $V$ over the finite field $…

math.CO2024

Stars of graphs of projective codes

Edyta Bartnicka

Let $Γ_{k} (V)$ be the Grassmann graph whose vertex set is formed by all $k$ -dimensional subspaces of an $n$ -dimensional vector space $V$ over the finite field $F_{q}$ consisting of $q$ …

math.CO2023

Tops of graphs of non-degenerate linear codes

Edyta Bartnicka, Andrzej Matraś

Let $Γ_{k} (V)$ be the Grassmann graph whose vertex set $G_{k} (V)$ is formed by all $k$ -dimensional subspaces of an $n$ -dimensional vector space $V$ over the finite field $…

math.RA2020

Orbits of Free Cyclic Submodules over Rings of Lower Triangular Matrices

Edyta Bartnicka

Given a ring $T_{n}, n ⩾ 2$ , of lower triangular $n \times n$ matrices with entries from an arbitrary field $F$ , a complete description is performed of the orbits of free cycli…

math.RA2019★ 1 cited

Affine and Projective Planes Linked with Projective Lines over Certain Rings of Lower Triangular Matrices

Edyta Bartnicka, Metod Saniga

Let $T_{n} (q)$ be the ring of lower triangular matrices of order $n \geq 2$ with entries from the finite field $F (q)$ of order $q \geq 2$ and let $^{2} T_{n} (q)$ denote its free left mo…

math.CO2018

Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules

Metod Saniga, Edyta Bartnicka

It is shown that there exists a particular associative ring with unity of order 16 such that the relations between nonunimodular free cyclic submodules of its two-dimensional free…