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The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups [PDF]
Acta Mathematica Hungarica, 2009 In this paper we search for conditions on a countably compact (pseudo-compact) topological semigroup under which: (i) each maximal subgroup $H(e)$ in $S$ is a (closed) topological subgroup in $S$; (ii) the Clifford part $H(S)$(i.e. the union of all maximal subgroups) of the semigroup $S$ is a closed subset in $S$; (iii) the inversion $\operatorname{inv}
Gutik, Oleg +2 more
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On locally compact semitopological O-bisimple inverse ω-semigroups
Topological Algebra and its Applications, 2018 We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
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On the ideal structure of the semigroup of closed subsets of a topological semigroup [PDF]
Proceedings of the Edinburgh Mathematical Society, 1985 Among the many semigroups which can be derived from a given compact (jointly continuous) semigroup S is the semigroup 2s consisting of its non-empty compact subsets; the product is the usual one defined by the rule EF = {xy:xεE, yεF}. The Vietoris or finite topology on 2s (in which a base for the open sets is obtained by taking all sets of the form ...
Baker, J. W. +2 more
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Axioms, 2018 An (L)-semigroup S is a compact n-manifold with connected boundary B together with a monoid structure on S such that B is a subsemigroup of S. The sum S + T of two (L)-semigroups S and T having boundary B is the quotient space obtained from the ...
John R. Martin
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Topological properties of C0 $C^{0}$-solution set for impulsive evolution inclusions
Boundary Value Problems, 2018 In this paper, we study the topological properties to a C0 $C^{0}$-solution set of impulsive evolution inclusions. The definition of C0 $C^{0}$-solutions for impulsive functional evolution inclusions is introduced.
Lu Zhang, Yong Zhou, Bashir Ahmad
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The structure of limit measures and their supports on topological semigroups
Semigroup Forum, 1996 Let \((X_n)\) be a sequence of independent random variables taking values in a topological semigroup \(S\). Let the probability measure \(\mu_n\) be the distribution of \(X_n\). The paper aims at determining conditions under which the non-homogeneous random walk \(X_{k + 1} X_{k + 2} \cdots X_n\) converges in distribution for all \(k \geq 0\). In terms
Beintema, M., Budzban, G.
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Domain theory and mirror properties in inverse semigroups [PDF]
, 2012 Inverse semigroups are a class of semigroups whose structure induces a compatible partial order. This partial order is examined so as to establish mirror properties between an inverse semigroup and the semilattice of its idempotent elements, such as ...
Poncet, Paul
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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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A note on quasi R*-invariant measures on semigroups
International Journal of Mathematics and Mathematical Sciences, 1990 A characterization of quasi r*-invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*-invariant measures and the topo-algebraic
N. A. Tserpes
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On representation of semigroups of inclusion hyperspaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 Given a group $X$ we study the algebraic structure of the compact right-topological semigroup $G(X)$ consisting of inclusion hyperspaces on $X$. This semigroup contains the semigroup $\lambda(X)$ of maximal linked systems as a closed subsemigroup.
V. M. Gavrylkiv
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