Brandt Extensions and Primitive Topological Inverse Semigroups-Reference-Cited by-同舟云学术

Brandt Extensions and Primitive Topological Inverse Semigroups

Published:2010 Issue: Volume:2010 Page:1-13
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Berezovski Tetyana¹,Gutik Oleg²,Pavlyk Kateryna²³

Affiliation:

1. Department of Math/CSC, Saint Joseph's University, 5600 City Avenue, Philadelphia, PA 19131, USA

2. Department of Mathematics, Ivan Franko Lviv National University, Universytetska 1, Lviv 79000, Ukraine

3. Pidstrygach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences, Naukova 3b, Lviv 79060, Ukraine

Abstract

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.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2010/671401.pdf

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