Results 61 to 70 of about 497 (94)

On semitopological actions of generalized I-semigroups

open access: yesSemigroup Forum, 1985
The following problem was posed by \textit{J. D. Lawson} [Semigroup Forum 12, 265-280 (1976; Zbl 0327.22003)]. Let I be the interval [0,1], provided with the ''min''-multiplication. Is it true that every semitopological action of I on a compact space is in fact a topological action?
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On locally compact semitopological graph inverse semigroups

open access: yesMatematychni Studii, 2018
In this paper we investigate locally compact semitopological graph inverse semigroups. Our main result is the following: if a directed graph $E$ is strongly connected and contains a finite amount of vertices then a locally compact semitopological graph inverse semigroup $G(E)$ is either compact or discrete.
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A Class of Distal Functions on Semitopological Semigroups

open access: yes, 2009
To appear in Methods Funct.
Jabbari, A., Vishki, H.R.E.
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A CONSTRUCTION OF A SEMITOPOLOGICAL SEMIGROUP OF SOFT ULTRAFILTERS

open access: yesIUG Journal of Natural Studies, 2021
Abstract. In this paper, we construct a semitopological semigroup consisting entirely of soft ultrafilters.
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On semitopological simple inverse $\omega$-semigroups with compact maximal subgroups

open access: yesCarpathian Mathematical Publications
We describe the structure of ($0$-)simple inverse Hausdorff semitopological $\omega$-semigroups with compact maximal subgroups. In particular, we show that if $S$ is a simple inverse Hausdorff semitopological $\omega$-semigroup with compact maximal subgroups, then $S$ is topologically isomorphic to the Bruck-Reilly extension $\left(\mathbf{BR}(T,\theta)
Gutik, Oleg, Maksymyk, Kateryna
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Compact completely $0$-simple semitopological semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
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On closures in semitopological inverse semigroups with continuous inversion

open access: yes, 2014
We study the closures of subgroups, semilattices and different kinds of semigroup extensions in semitopological inverse semigroups with continuous inversion. In particularly we show that a topological group $G$ is $H$-closed in the class of semitopological inverse semigroups with continuous inversion if and only if $G$ is compact, a Hausdorff linearly ...
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