@article {
author = {Jamalzadeh, J. and Rezaei, Gh.},
title = {Brandt extensions and primitive topologically periodic inverse topological semigroups},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {1},
pages = {87-95},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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.},
keywords = {inverse topological semigroup,Topological inverse semigroup,0-
simple group,completely 0-simple semigroup},
url = {http://bims.iranjournals.ir/article_335.html},
eprint = {http://bims.iranjournals.ir/article_335_d5c026c53354c9bcbfe4d7fe7e5c649e.pdf}
}