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Reductive compactifications of semitopological semigroups

Author

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  • Abdolmajid Fattahi
  • Mohamad Ali Pourabdollah
  • Abbas Sahleh

Abstract

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 E -algebra, and show that this notion is closely related to the reductivity of the semigroup compactification involved. Moreover, the structure of the universal E ℱ -compactification is also given.

Suggested Citation

  • Abdolmajid Fattahi & Mohamad Ali Pourabdollah & Abbas Sahleh, 2003. "Reductive compactifications of semitopological semigroups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:104725
    DOI: 10.1155/S0161171203202052
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