International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 671401, 13 pages
doi:10.1155/2010/671401
Brandt extensions and primitive topological inverse semigroups
Tetyana Berezovski1
, Oleg Gutik2
and Kateryna Pavlyk2
1Department of Math/CSC, Saint Joseph's University, 5600 City Avenue, Philadelphia, PA 19131, USA
2Department of Mathematics, Ivan Franko Lviv National University, Universytetska 1, Lviv 79000, Ukraine
Abstract
We study (countably) compact and (absolutely) H-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup.