On domains of noncommutative rational functions
Rings and Algebras
2016-11-18 v2
Abstract
In this paper the stable extended domain of a noncommutative rational function is introduced and it is shown that it can be completely described by a monic linear pencil from the minimal realization of the function. This result amends the singularities theorem of Kalyuzhnyi-Verbovetskyi and Vinnikov. Furthermore, for noncommutative rational functions which are regular at a scalar point it is proved that their domains and stable extended domains coincide.
Keywords
Cite
@article{arxiv.1608.02594,
title = {On domains of noncommutative rational functions},
author = {Jurij Volčič},
journal= {arXiv preprint arXiv:1608.02594},
year = {2016}
}