Reductive compactifications of semitopological semigroups

Abdolmajid Fattahi, Mohamad Ali Pourabdollah, Abbas Sahleh
2003 International Journal of Mathematics and Mathematical Sciences  
We consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again. In this way, we introduce the notion ofE-algebra, and show that this notion is closely related to the reductivity of the semigroup compactification involved. Moreover, the structure of the universalEℱ-compactification is also given.
doi:10.1155/s0161171203202052 fatcat:geivfoe2pfapjai2dqajlq6wzi