Characterization of  $ E{\mathcal F}$-subcompactification

A. Fattahi, H. R. E. Vishki

Department of Mathematics, Faculty of Science, Razi University, Kermanshah,  Iran

Faculty of Mathematics, Ferdowsi University of Mashhad,  P.O. Box 91775-1159,  Mashhad, Iran


For extending the notion of $E$-algebra, as defined in [2], we prezent  an example of an m-admissible algebra which is not an $E$ - algebra. Then we devone $E$-subcompactification and  $E{\mathcal F}$-subcompactification to study the universal  $E$-subcompactification  and the universal  $E{\mathcal F}$-subcompactification from the function algebras point of view.

AMSclassification.  Primary 20M10, 20M17, 22A20, 43A60.

Keywords.   Semigroup, reductive semigroup, semigroup compactification, enveloping semigroup, $E$-subcompactification.