Normal form in Hecke-Kiselman monoids associated with simple oriented graphs

• Date: 2021
• Main Authors: Aragona, R., D'Andrea, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: simple oriented graph; Hecke-Kiselman monoid; normal form; 20M05; 20M10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1571
• Journal Title: Algebra and Discrete Mathematics

We generalize Kudryavtseva and Mazorchuk's concept of a canonical form of elements [9] in Kiselman's semigroups to the setting of a Hecke-Kiselman monoid \(\mathbf{HK}_\Gamma\) associated with a simple oriented graph \(\Gamma\). We use confluence properties from [7] to associate with each...