On monoids of monotone injective partial selfmaps of \(L_n\times_{\operatorname{lex}}\mathbb{Z}\) with co-finite domains and images

• Datum: 2018
• Hauptverfasser: Gutik, Oleg, Pozdnyakova, Inna
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Topological semigroup; semitopological semigroup; semigroup of bijective partial transformations; symmetric inverse semigroup; congruence; ideal; automorphism; homomorphism; Baire space; semigroup topologization; embedding; 20M18; 20M20; 20M05; 20M15; 22A15; 54C25; 54D40; 54E52; 54H10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1035
• Назва журналу: Algebra and Discrete Mathematics

We study the semigroup \(\mathscr{I\!O}\!_{\infty} (\mathbb{Z}^n_{\operatorname{lex}})\) of monotone injective partial selfmaps of the set of \(L_n\times_{\operatorname{lex}}\mathbb{Z}\) having co-finite domain and image, where \(L_n\times_{\operatorname{lex}}\mathbb{Z}\) is the lexicographic produc...