Edyta Bartnicka

activity

20152019

collaborators

4 papers

math.RA2019

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…

math.RA2017

The distant graph of the projective line over a finite ring with unity

Edyta Bartnicka, Andrzej Matras

We discuss the projective line $P (R)$ over a finite associative ring with unity. $P (R)$ is naturally endowed with the symmetric and anti-reflexive relation "dista…

math.RA2015

Free cyclic submodules in the context of the projective line

Edyta Bartnicka, Andrzej Matras

We discuss the free cyclic submodules over an associative ring $R$ with unity. Special attention is paid to those, which are generated by outliers. This paper describes all orbits…