Results 61 to 70 of about 175 (103)
Algebras of functions on semitopological left-groups
, 1976 We consider various algebras of functions on a semitopological left-group S = X × G S = X \times G , the direct product of a left-zero semigroup X and a group G.
John F. Berglund, Paul Milnes
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On the closure of the extended bicyclic semigroup
, 2013 In the paper we study the semigroup $\mathcal{C}_{\mathbb{Z}}$ which is a generalization of the bicyclic semigroup. We describe main algebraic properties of the semigroup $\mathcal{C}_{\mathbb{Z}}$ and prove that every non-trivial congruence $\mathbb{C}$
O. V. Gutik, I. R. Fihel
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Filters and the weak almost periodic compactification of a discrete semigroup
, 1984 The weak almost periodic compactification of a semigroup is a compact semitopological semigroup with certain universal properties relative to the original semigroup. It is not, in general, a topological compactification.
John F. Berglund, Neil Hindman
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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.
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Even continuity and topological equicontinuity in topologized semigroups
, 2009 A topologized semigroup X having an evenly continuous resp., topologically equicontinuous, family RX of right translations is investigated. It is shown that: (1) every left semitopological semigroup X with an evenly continuous family RX is a topological ...
Vidal, Ricardo +2 more
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$Lmc-$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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A nonlinear ergodic theorem for a reversible semigroup of Lipschitzian mappings in a Hilbert space
, 1988 Let C C be a nonempty closed convex subset of a Hilbert space, S S a right reversible semitopological semigroup, S = { T t
Hajime Ishihara, Wataru Takahashi
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On semitopological simple inverse $\omega$-semigroups with compact maximal subgroups
Carpathian Mathematical PublicationsWe 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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A nonlinear ergodic theorem for a reversible semigroup of nonexpansive mappings in a Hilbert space
, 1986 Let C C be a nonempty closed convex subset of a Hilbert space, S S a right reversible semitopological semigroup, S = { T t
Wataru Takahashi
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Fuzzy quasi-pseudometrics on algebraic structures
, 2018 In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy (quasi-)pseudometric, then it is a ...
Iván Sánchez +3 more
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