Jamalzadeh, J., Rezaei, G. (2013). Brandt extensions and primitive topologically periodic inverse topological semigroups. Bulletin of the Iranian Mathematical Society, 39(1), 87-95.
J. Jamalzadeh; Gh. Rezaei. "Brandt extensions and primitive topologically periodic inverse topological semigroups". Bulletin of the Iranian Mathematical Society, 39, 1, 2013, 87-95.
Jamalzadeh, J., Rezaei, G. (2013). 'Brandt extensions and primitive topologically periodic inverse topological semigroups', Bulletin of the Iranian Mathematical Society, 39(1), pp. 87-95.
Jamalzadeh, J., Rezaei, G. Brandt extensions and primitive topologically periodic inverse topological semigroups. Bulletin of the Iranian Mathematical Society, 2013; 39(1): 87-95.
Brandt extensions and primitive topologically periodic inverse topological semigroups
1I am phd student in sistan and bluchestan university
2University of Sistan and Bluchestan, Iran
Receive Date: 20 December 2010,
Revise Date: 10 September 2011,
Accept Date: 10 September 2011
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.
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