Results 61 to 70 of about 116 (89)

On the closure of the extended bicyclic semigroup

Karpatsʹkì Matematičnì Publìkacìï, 2011
In the paper we study the semigroup $mathscr{C}_{mathbb{Z}}$which is a generalization of the bicyclic semigroup. We describemain algebraic properties of the semigroup$mathscr{C}_{mathbb{Z}}$ and prove that every non-trivialcongruence $mathfrak{C}$ on the
I. R. Fihel, O. V. Gutik
doaj  

A Class of Distal Functions on Semitopological Semigroups

, 2009
To appear in Methods Funct.
Jabbari, A., Vishki, H.R.E.
openaire   +3 more sources

Means, homomorphisms, and compactifications of weighted semitopological semigroups

Proceedings - Mathematical Sciences, 1999
The algebras of complex-valued functions \(f\) from a weighted semitopological semigroup \((S,w)\) such that \(\frac fw\) is continuous are studied (a weighted semitopological semigroup \((S,w)\) is a semitopological semigroup \(S\) and a function \(w:S\to (0,\infty)\) such that \(w\) is bounded to any compact subset of \(S\) and \(w(st)\leq w(s)w(t)\)
Khadem-Maboudi, A. A., Pourabdollah, M. A.   +1 more
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On semitopological actions of generalized I-semigroups

Semigroup Forum, 1985
The following problem was posed by \textit{J. D. Lawson} [Semigroup Forum 12, 265-280 (1976; Zbl 0327.22003)]. Let I be the interval [0,1], provided with the ''min''-multiplication. Is it true that every semitopological action of I on a compact space is in fact a topological action?
openaire   +2 more sources

Primitive idempotent measures on compact semitopological semigroups [PDF]

Journal of the Australian Mathematical Society, 1972
For a semigroup S let I(S) be the set of idempotents in S. A natural partial order of I(S) is defined by e ≦ f if ef = fe = e. An element e in I(S) is called a primitive idempotent if e is a minimal non-zero element of the partially ordered set (I(S), ≦). It is easy to see that an idempotent e in S is primitive if and only if, for any idempotent f in S,
openaire   +1 more source

On locally compact semitopological graph inverse semigroups

Matematychni Studii, 2018
In this paper we investigate locally compact semitopological graph inverse semigroups. Our main result is the following: if a directed graph $E$ is strongly connected and contains a finite amount of vertices then a locally compact semitopological graph inverse semigroup $G(E)$ is either compact or discrete.
openaire   +3 more sources

$Lmc-$compactification of a semitopological semigroup as a space of e-ultrafilters

, 2013
Let $S$ be a semitopological semigroup and $\mathcal{CB}(S)$ denotes the $C^*$-algebra of all bounded complex valued continuous functions on $S$ with uniform norm. A function $f\in \mathcal{CB}(S)$ is left multiplicative \linebreak continuous if and only if $\mathbf{T}_μf\in \mathcal{CB}(S)$ for all $μ$ in the spectrum of $\mathcal{CB}(S)$, where ...
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On semitopological simple inverse $\omega$-semigroups with compact maximal subgroups

Carpathian Mathematical Publications
We describe the structure of ($0$-)simple inverse Hausdorff semitopological $\omega$-semigroups with compact maximal subgroups. In particular, we show that if $S$ is a simple inverse Hausdorff semitopological $\omega$-semigroup with compact maximal subgroups, then $S$ is topologically isomorphic to the Bruck-Reilly extension $\left(\mathbf{BR}(T,\theta)
Gutik, Oleg, Maksymyk, Kateryna
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Semitopological groups, semiclosure semigroups and quantales

Fuzzy Sets and Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shengwei Han
exaly   +2 more sources

Compact Semitopological Semigroups and Weakly Almost Periodic Functions

Lecture Notes in Mathematics, 1967
K H Hofmann
exaly   +2 more sources