Abdolmajid Fattahi, Mohamad Ali Pourabdollah, Abbas Sahleh, "Reductive compactifications of semitopological semigroups", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 104725, 4 pages, 2003. https://doi.org/10.1155/S0161171203202052
Reductive compactifications of semitopological semigroups
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 of -algebra, and show that this notion is closely related to the reductivity of the semigroup compactification involved. Moreover, the structure of the universal -compactification is also given.
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