%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