Volume 10, Issue 1 (4-2015)
IJMSI 2015, 10(1): 59-80 |
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Akbari Tootkaboni M. Filters and the Weakly Almost Periodic Compactification of a Semitopological Semigroup. IJMSI 2015; 10 (1) :59-80
URL: http://ijmsi.ir/article-1-437-en.html
URL: http://ijmsi.ir/article-1-437-en.html
Abstract:
Let $S$ be a semitopological semigroup. The $wap-$ compactification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the $Lmc-$ compactification of semigroup $S$ is a universal semigroup compactification of $S$, which are denoted by $S^{wap}$ and $S^{Lmc}$ respectively. In this paper, an internal construction of the $wap-$compactification of a semitopological semigroup is constructed as a space of $z-$filters. Also we obtain the cardinality of $S^{wap}$ and show that if $S^{wap}$ is the one point compactification then $(S^{Lmc}-S)*S^{Lmc}$ is dense in $S^{Lmc}-S$.
Type of Study: Research paper |
Subject:
Special
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