University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 8 4 1997 12 01 FLOWS AND UNIVERSAL COMPACTIFICATIONS - 31281 EN Journal Article The main purpose of this paper is to establish a relation between universality of certain P-compactifications of a semitopological semigroup and their corresponding enveloping semigroups. In particular, we show that if we take P to be the property that the enveloping semigroup of a compactification of a semitopological semigroup s is left simple, a group, or the trivial singleton semigroup, then the universal P- compactification of S would be the distal, the right simple, or the right zero compactification , respectively https://jsciences.ut.ac.ir/article_31281_9c87b4fa747d4b5675c82f561eb9cd4c.pdf