Partial Automorphisms and Injective Partial Endomorphisms of a Finite Undirected Path
Rings and Algebras
2021-11-25 v1
Abstract
In this paper, we study partial automorphisms and, more generally, injective partial endomorphisms of a finite undirected path from Semigroup Theory perspective. Our main objective is to give formulas for the ranks of the monoids and of all injective partial endomorphisms and of all partial automorphisms of the undirected path with vertices. We also describe Green's relations of and and calculate their cardinals.
Cite
@article{arxiv.2101.12468,
title = {Partial Automorphisms and Injective Partial Endomorphisms of a Finite Undirected Path},
author = {Ilinka Dimitrova and Vítor H. Fernandes and Jörg Koppitz and Teresa M. Quinteiro},
journal= {arXiv preprint arXiv:2101.12468},
year = {2021}
}