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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
semanticscholar +8 more sources
Some Study on the Topological Structure on Semigroups
WSEAS TRANSACTIONS ON MATHEMATICS, 2022 Some studies related to the topological structure of semigroups are provided. In, [3], considering and investigating the properties of the collection A of all the proper uniformly strongly prime ideals of a Γ - semigroup S, such study starts by constructing a topology τA on A using a closure operator defined in terms of the intersection and inclusion ...
Kleida Haxhi, Teuta Myftiu, Kostaq Hila
semanticscholar +3 more sources
The structure of topological semigroups [PDF]
Bulletin of the American Mathematical Society, 1955 The title of this address might incline one to the notion that here is to be found a small number of large theorems. To the contrary, I shall talk about a large number of small theorems.
A. D. Wallace
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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 ...
J. W. Baker, H. L. Vaseudeva, J. S. Pym
semanticscholar +5 more sources
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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The structure of topological semigroups—revisited [PDF]
Bulletin of the American Mathematical Society, 1966 P. Mostert
semanticscholar +6 more sources
Brandt Extensions and Primitive Topological Inverse Semigroups [PDF]
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
doaj +2 more sources
A topological semigroup structure on the space of actions modulo weak equivalence
, 2015 We introduce a topology on the space of actions modulo weak equivalence finer than the one previously studied in the literature. We show that the product of actions is a continuous operation with respect to this topology, so that the space of actions modulo weak equivalence becomes a topological semigroup.
Peter Burton
openaire +4 more sources
On the topological structure of a finitely generated semigroup of matrices
Semigroup Forum, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hing Leung
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On feebly compact inverse primitive (semi)topological semigroups [PDF]
, 2013 We study the structure of inverse primitive feebly compact semitopological and topological semigroups. We find conditions when the maximal subgroup of an inverse primitive feebly compact semitopological semigroup $S$ is a closed subset of $S$ and ...
O. Gutik, O. Ravsky
semanticscholar +1 more source