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Compact Connected Ordered Semitopological Semigroups†
John F. Berglund
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Ultrafilters on Semitopological Semigroups
Semigroup Forum, 2004It has been known since the sixties that the Stone-Čech compactification of a discrete semigroup can be given a natural structure of a compact right topological semigroup. In [\textit{N. Hindman} and \textit{D. Strauss}, Algebra in the Stone-Čech compactification: theory and applications (de Gruyter Expositions in Mathematics 27) (1998; Zbl 0918.22001)]
Tootkaboni, M. A., Riazi, A.
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On Semitopological Bicyclic Extensions of Linearly Ordered Groups
Journal of Mathematical Sciences, 2019For a linearly ordered group G , we define a subset A ⊆ G to be a shift-set if, for any x, y, z ϵ A with y < x, we get x · y-1 ··z ϵ A. We describe the natural partial order and solutions of equations on the semigroup B(A) of shifts of positive cones of ...
O. Gutik, K. Maksymyk
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Semitopological groups, semiclosure semigroups and quantales
Fuzzy Sets and Systems, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Shengwei, Xia, Changchun, Zhao, Bin
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Common fixed points in Chebyshev center for a semigroup of isometry mappings
Topological Methods in Nonlinear AnalysisIn this article, we prove that if $K$ is a nonempty weakly compact convex set having the normal structure in a Banach space $B$ and $\mathfrak{F}$ is a left reversible semitopological semigroup of isometry mappings from $K$ into itself, then there exists
Sharma Abhishek +1 more
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Semitopological semigroups satisfying S 2 =S on finite trees are topological
SemiGroup Forum, 1999The purpose of this paper is to prove the following theorem: If a semitopological semigroup \(S\) is defined on a finite tree and if \(S^2=S\), then \(S\) is a topological semigroup. Let \(M(S)\) denote the minimal ideal of \(S\), and \(m(s)\) the single element contained in the intersection of all arcs \([m,s]\cap M(S)\).
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A Compact Monothetic Semitopological Semigroup Whose Set of Idempotents Is Not Closed
, 2001A. Bouziad, M. Lemanczyk, M. K. Mentzen
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Semitopological Semigroups on Circles†
Journal of the London Mathematical Society, 1972openaire +1 more source
Every semitopological semigroup compactification of the group H+[0,1] is trivial
, 2001M. Megrelishvili
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