%0 Journal Article
%T Brandt extensions and primitive topologically periodic inverse topological semigroups
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Jamalzadeh, J.
%A Rezaei, Gh.
%D 2013
%\ 03/01/2013
%V 39
%N 1
%P 87-95
%! Brandt extensions and primitive topologically periodic inverse topological semigroups
%K inverse topological semigroup
%K Topological inverse semigroup
%K 0-
simple group
%K completely 0-simple semigroup
%R
%X In this paper we find sufficient conditions on primitive inverse topological semigroup S under which: the inversion inv : (H(S)) (H(S)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed H-classes is topologically isomorphic to an orthogonal sum P i2= Bi (Gi) of topological Brandt extensions Bi (Gi) of countably compact topological groups Gi in the class of topological inverse semigroups for some finite cardinals.
%U http://bims.iranjournals.ir/article_335_d5c026c53354c9bcbfe4d7fe7e5c649e.pdf