On closures in semitopological inverse semigroups with continuous inversion

• Date: 2018
• Main Author: Gutik, Oleg
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: semigroup; semitopological semigroup; topological Brandt \(\lambda^0\)-extension; inverse semigroup; quasitopological group; topological group; semilattice; closure; \(H\)-closed; absolutely \(H\)-closed; 22A05; 22A15; 22A26; 20M18; 20M15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1047
• Journal Title: Algebra and Discrete Mathematics

We study the closures of subgroups, semilattices and different kinds of semigroup extensions in semitopological inverse semigroups with continuous inversion. In particularly we show that a topological group \(G\) is \(H\)-closed in the class of semitopological inverse semigroups with continuous inve...