On \(H\)-closed topological semigroups and semilattices

• Date: 2018
• Main Authors: Chuchman, Ivan, Gutik, Oleg
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Topological semigroup; \(H\)-closed topological semigroup; absolutely \(H\)-closed topological semigroup; topological semilattice; linearly ordered semilattice; \(H\)-closed topological semilattice; absolutely \(H\)-closed topological semilattice; 06A12; 06F30; 22A15; 22A26; 54H12
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/831
• Journal Title: Algebra and Discrete Mathematics

In this paper, we show that if \(S\) is an \(H\)-closed topological semigroup and \(e\) is an idempotent of \(S\), then \(eSe\) is an \(H\)-closed topological semigroup. We give sufficient conditions on a linearly ordered topological semilattice to be \(H\)-closed. Also we prove that any \(H\)-close...