Free cyclic submodules in the context of the projective line
Rings and Algebras
2015-03-18 v1
Abstract
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 of such submodules in the ring of lower triangular x matrices over a field under the action of the general linear group. Besides rings with outliers generating free cyclic submodules, there are also rings with outliers generating only torsion cyclic submodules and without any outliers. We give examples of all cases.
Keywords
Cite
@article{arxiv.1503.04975,
title = {Free cyclic submodules in the context of the projective line},
author = {Edyta Bartnicka and Andrzej Matras},
journal= {arXiv preprint arXiv:1503.04975},
year = {2015}
}