On a semigroup of closed connected partial homeomorphisms of the unit interval with a fixed point

• Datum: 2018
• 1. Verfasser: Chuchman, Ivan
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Semigroup of bijective partial transformations; symmetric inverse semigroup; semigroup of homeomorphisms; group congruence; bisimple semigroup; 20M20,54H15; 20M18
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/680
• Назва журналу: Algebra and Discrete Mathematics

In this paper we study the semigroup \(\mathfrak{IC}(I,[a])\) (\(\mathfrak{IO}(I,[a])\)) of closed (open) connected partial homeomorphisms of the unit interval \(I\) with a fixed point \(a\in I\). We describe left and right ideals of \(\mathfrak{IC}(I,[0])\) and the Green's relations on \(\math...