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.
Sahleh, A., & Najarpisheh, L. (2016). The universal $\mathcal{AIR}$- compactification of a semigroup. Journal of Algebra and Related Topics, 4(2), 31-39.
MLA
A. Sahleh; L. Najarpisheh. "The universal $\mathcal{AIR}$- compactification of a semigroup". Journal of Algebra and Related Topics, 4, 2, 2016, 31-39.
HARVARD
Sahleh, A., Najarpisheh, L. (2016). 'The universal $\mathcal{AIR}$- compactification of a semigroup', Journal of Algebra and Related Topics, 4(2), pp. 31-39.
VANCOUVER
Sahleh, A., Najarpisheh, L. The universal $\mathcal{AIR}$- compactification of a semigroup. Journal of Algebra and Related Topics, 2016; 4(2): 31-39.
)