FLOWS AND UNIVERSAL COMPACTIFICATIONS

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...

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Bibliographic Details
Format: Article
Language:English
Published: University of Tehran 1997-12-01
Series:Journal of Sciences, Islamic Republic of Iran
Online Access:https://jsciences.ut.ac.ir/article_31281_1c5fe00eaa938fea7fc99272815e62ec.pdf
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Summary: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
ISSN:1016-1104
2345-6914