On a semitopological polycyclic monoid

• Datum: 2016
• Hauptverfasser: Bardyla, Serhii, Gutik, Oleg
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2016
• Schlagworte: inverse semigroup; bicyclic monoid; polycyclic monoid; free monoid; semigroup of matrix units; topological semigroup; semitopological semigroup; Bohr compactification; embedding; locally compact; countably compact; feebly compact; Primary 22A15; 20M18. Secondary 20M05; 22A26; 54A10; 54D30; 54D35; 54D45; 54H11
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/154
• Назва журналу: Algebra and Discrete Mathematics

We study algebraic structure of the \(\lambda\)-polycyclic monoid \(P_{\lambda}\) and its topologizations. We show that the \(\lambda\)-polycyclic monoid for an infinite cardinal \(\lambda\geqslant 2\) has similar algebraic properties so has the polycyclic monoid \(P_n\) with finitely many \(n\geqsl...