Homomorphisms of Hecke-Kiselman Monoids Associated to Simple Oriented Graphs

Luka Andrenšek

Let $\Gamma$ and $\Theta$ be finite simple oriented graphs, and let ${\mathbf{HK}}_{\Gamma }$ and ${\mathbf{HK}}_{\Theta }$ denote the corresponding Hecke-Kiselman monoids. We present a set of Boolean matrices…