%0 Journal Article
%T Reductive compactifications of semitopological semigroups
%A Abdolmajid Fattahi
%A Mohamad Ali Pourabdollah
%A Abbas Sahleh
%J International Journal of Mathematics and Mathematical Sciences
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/s0161171203202052
%X 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 Eℱ-compactification is also given.
%U http://www.hindawi.com/journals/ijmms/2003/104725/abs/