6 citations · 10 across the 7 of their papers we have counts for
8 papers
The Cayley Graph of Neumann Subgroups
Andrzej Matraś, Artur Siemaszko
All Cayley representations of the distant graph over integers are characterized as Neumann subgroups of the extended modular group. Possible structures of Neumann subgroups a…
The distant graph of the projective line over a finite ring with unity
Edyta Bartnicka, Andrzej Matras
We discuss the projective line over a finite associative ring with unity. is naturally endowed with the symmetric and anti-reflexive relation "dista…
Free cyclic submodules in the context of the projective line
Edyta Bartnicka, Andrzej Matras
We discuss the free cyclic submodules over an associative ring with unity. Special attention is paid to those, which are generated by outliers. This paper describes all orbits…
The Shortest Path Problem for the Distant Graph of the Projective Line Over the Ring of Integers
Andrzej Matraś, Artur Siemaszko
The distant graph of the projective line over the ring of integers is considered. The shortest path problem in this graph is solved by use of Klein…
Geometry of free cyclic submodules over ternions
Hans Havlicek, Andrzej Matras, Mark Pankov
Given the algebra of ternions (upper triangular matrices) over a commutative field we consider as set of points of a projective line over the set of all fre…
The symmetry axiom in Minkowski planes
Jaroslaw Kosiorek, Andrzej Matras
The aim of the paper is to give a synthetic proof that in a symmetric Minkowski plane the Benz's (G) axiom holds (without using the algebraic representation).