Topological semigroups of matrix units

• Datum: 2018
• Hauptverfasser: Gutik, Oleg V., Pavlyk, Kateryna P.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: semigroup of matrix units; semitopological semigroup; topological semigroup; topological inverse semigroup; \(H\)-closed semigroup; absolutely \(H\)-closed semigroup; algebraically \(h\)-closed semigroup; Bohr compactification; 20M15; 20M18; 22A15; 54A10; 54C25; 54D25; 54D35; 54H10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/924
• Назва журналу: Algebra and Discrete Mathematics

We prove that the semigroup of matrix units is stable. Compact, countably compact and pseudocompact topologies \(\tau\) on the infinite semigroup of matrix units \(B_\lambda\) such that \((B_\lambda,\tau)\) is a semitopological (inverse) semigroup are described. We prove the following properties of...