Brandt extensions and primitive topologically periodic inverse topological semigroups

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چکیده مقاله:

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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عنوان ژورنال

دوره 39  شماره 1

صفحات  87- 95

تاریخ انتشار 2013-03-01

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