Results 11 to 20 of about 196 (184)
The Translational Hull of a Topological Semigroup [PDF]
Transactions of the American Mathematical Society, 1976 This paper is concerned with three aspects of the study of topological versions of the translational hull of a topological semigroup. These include topological properties, applications to the general theory of topological semigroups, and techniques for computing the translational hull. The central result of this paper is that if
Hildebrant, J. A. +2 more
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Pettis property for Polish inverse semigroups
Applied General Topology, 2023 We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property.
Karen Arana +2 more
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Brandt Extensions and Primitive Topological Inverse Semigroups
International Journal of Mathematics and Mathematical Sciences, 2010 We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological
Tetyana Berezovski +2 more
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On a complete topological inverse polycyclic monoid
Karpatsʹkì Matematičnì Publìkacìï, 2016 We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups.
S.O. Bardyla, O.V. Gutik
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Thickness in topological transformation semigroups
International Journal of Mathematics and Mathematical Sciences, 1993 This article deals with thickness in topological transformation semigroups (τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on a τ-semigroup if there exists an invariant mean on its ...
Tyler Haynes
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On the construction of one-parameter semigroups in topological semigroups [PDF]
Pacific Journal of Mathematics, 1976 Let Sbe a topological Hausdorff semigroup and s e S b e a strongly root compact element. Then there are an algebraic morphism /: Q+ U {0} -* S with /(0) = e9 /(I) = s, and a oneparameter semigroup φ:H->S which satisfy the following properties: If K = Π {/( ]0, e[Q): 0 < e < 1}, then K is a compact connected abelian subgroup of ^ ( e ) , ^(0) = e, φ(H ...
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Right simple subsemigroups and right subgroups of compact convergence semigroups
International Journal of Mathematics and Mathematical Sciences, 2000 Clifford and Preston (1961) showed several important characterizations of right groups. It was shown in Roy and So (1998) that, among topological semigroups, compact right simple or left cancellative semigroups are in fact right groups, and the closure ...
Phoebe Ho, Shing S. So
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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The $LMC$-compactification of a topologized semigroup [PDF]
Czechoslovak Mathematical Journal, 1988 It is known [\textit{J. Berglund}, \textit{H. Jungheim}, and \textit{P. Milnes}, Compact right topological semigroups and generalizations of almost periodicity (Lect. Notes Math. 663, 1978; Zbl 0406.22005)] that any Hausdorff semitopological semigroup (operation is separately continuous on both sides) has a compactification (e,X) maximal with respect ...
Hindman, Neil, Milnes, Paul
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TOPOLOGICAL STRUCTURAL STABILITY ON PROJECTED SPACES
Selecciones Matemáticas, 2016 In this work we study the topological structural stability for a family of nonlinear semigroups Th(·) on Banach spaces Xh which dependent on a parameter h.
Rodiak Figueroa +3 more
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