TY - JOUR ID - 2000 TI - The universal $\mathcal{AIR}$- compactification of a semigroup JO - Journal of Algebra and Related Topics JA - JART LA - en SN - 2345-3931 AU - Sahleh, A. AU - Najarpisheh, L. AD - University of Guilan Y1 - 2016 PY - 2016 VL - 4 IS - 2 SP - 31 EP - 39 KW - Semitopological semigroup KW - (universal) semigroup compactification KW - distal function KW - weakly almost periodic function KW - ideal retraction property DO - N2 - 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. UR - https://jart.guilan.ac.ir/article_2000.html L1 - https://jart.guilan.ac.ir/article_2000_7d9dcf6b892e84c4d861076a1b649e06.pdf ER -