%0 Journal Article
%A Akbari Tootkaboni, M.
%T Filters and the Weakly Almost Periodic Compactification of a Semitopological Semigroup
%J Iranian Journal of Mathematical Sciences and Informatics
%V 10
%N 1
%U http://ijmsi.ir/article-1-437-en.html
%R 10.7508/ijmsi.2015.01.005
%D 2015
%K Semigroup compactification, $Lmc$-compactification, $wap$-compactification, $z$-filter.,
%X 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 $S^{Lmc}-S$.
%> http://ijmsi.ir/article-1-437-en.pdf
%P 59-80
%& 59
%!
%9 Research paper
%L A-10-474-1
%+ Shahed University
%G eng
%@ 1735-4463
%[ 2015