Results 1 to 10 of about 719 (129)

The structure of limit measures and their supports on topological semigroups

open access: yesSemigroup 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.
exaly   +5 more sources

Some Study on the Topological Structure on Semigroups

open access: yesWSEAS 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
openaire   +2 more sources

The structure of topological semigroups [PDF]

open access: yesBulletin 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
openaire   +3 more sources

The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups [PDF]

open access: yesActa 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
openaire   +6 more sources

On the ideal structure of the semigroup of closed subsets of a topological semigroup [PDF]

open access: yesProceedings 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
openaire   +3 more sources

Acting Fibrations and Lifting Functions in the Homotopy Theory of Single Intersection Graphs over Topological Semigroups

open access: yesMathematics
In this paper, we study the homotopy theory of single intersection graphs arising from acting spaces over topological semigroups. An acting space (S,B) is defined as a topological space B equipped with a continuous action of a topological semigroup S ...
Fozaiyah Alhubairah   +3 more
doaj   +2 more sources

Pseudocompact Primitive Topological Inverse Semigroups [PDF]

open access: yesJournal of Mathematical Sciences, 2014
We study pseudocompact primitive topological inverse semigroups, describe the structure of pseudocompact primitive topological inverse semigroups, and show that the Tychonoff product of a family of pseudocompact primitive topological inverse semigroups ...
Oleg Gutik
exaly   +3 more sources

Graphical Homotopy Theory for Intersection Graphs of Semigroups via Path Spaces and Uniform Structures with Applications to Graphical Total Semigroups

open access: yesMathematics
In this article, we study the homotopy aspects of intersection graphs of topological semigroups. We begin by defining the top intersection graph TGX and investigating how the algebraic and topological properties of a topological semigroup are reflected ...
Maryam F. Alshammari   +2 more
doaj   +2 more sources

CONTRACTIVE SEMIGROUPS IN TOPOLOGICAL VECTOR SPACES, ON THE 100TH ANNIVERSARY OF STEFAN BANACH’S CONTRACTION PRINCIPLE

open access: yesBulletin of the Australian Mathematical Society, 2023
Celebrating 100 years of the Banach contraction principle, we prove some fixed point theorems having all ingredients of the principle, but dealing with common fixed points of a contractive semigroup of nonlinear mappings acting in a modulated topological
W. Kozlowski
semanticscholar   +1 more source

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