Title of article :
THE UNIVERSAL AIR- COMPACTIFICATION OF A SEMIGROUP
Author/Authors :
sahleh, a. university of guilan - faculty of mathematical sciences, Rasht, Iran , najarpisheh, l. university of guilan - faculty of mathematical sciences, Rasht, Iran
Abstract :
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 with respect to these properties.
Keywords :
semitopological semigroup , (universal) semigroup compactification , distalfunction , weakly almost periodic function , ideal retraction property
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics
