Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Brandt extensions and primitive topologically periodic inverse topological semigroups

Document Type : Research Paper

Authors
1 I am phd student in sistan and bluchestan university
2 University of Sistan and Bluchestan, Iran
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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Subjects


  • Receive Date 20 December 2010
  • Revise Date 10 September 2011
  • Accept Date 10 September 2011