Address.
Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran
Faculty of Mathematics, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran
E-mail. abfattahi@yahoo.ca majidzr@razi.ac.ir vishki@math.um.ac.ir
Abstract.
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.