%0 Journal Article
%T The universal $mathcal{AIR}$- compactification of a semigroup
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Sahleh, A.
%A Najarpisheh, L.
%D 2016
%\ 12/01/2016
%V 4
%N 2
%P 31-39
%! The universal $mathcal{AIR}$- compactification of a semigroup
%K Semitopological semigroup
%K (universal) semigroup compactification
%K distal function
%K weakly almost periodic function
%K ideal retraction property
%R
%X In this paper we establish a characterization of abelian compact Hausdorff semigroups with unique idempotent and ideal retraction property. We also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to these properties.
%U https://jart.guilan.ac.ir/article_2000_7d9dcf6b892e84c4d861076a1b649e06.pdf