On monoids of monotone partial transformations of a finite chain whose domains and ranges are intervals

• Date: 2025
• Main Authors: Ayık, Hayrullah, Fernandes, Vítor H., Korkmaz, Emrah
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: transformations; monotone; rank; presentations; 20M20; 20M05; 20M10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2403
• Journal Title: Algebra and Discrete Mathematics

In this note, we consider the monoid \(\mathcal{PIM}_{n}\) of all partial monotone transformations on a chain with \(n\) elements whose domains and ranges are intervals and its submonoid \(\mathcal{IM}_{n}\) constituted by the full transformations. For both of these monoids, our aim is to determine...