International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 671401, 13 pages
Brandt Extensions and Primitive Topological Inverse Semigroups
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
3Pidstrygach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences, Naukova 3b, Lviv 79060, Ukraine
Received 20 July 2009; Accepted 1 February 2010
Academic Editor: Volker Runde
Copyright © 2010 Tetyana Berezovski et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study (countably) compact and (absolutely) -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.