Results 41 to 50 of about 517 (102)
On monoids of monotone injective partial self-maps of integers with cofinite domains and images
We study the semigroup $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ of monotone injective partial selfmaps of the set of integers having cofinite domain and image. We show that $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ is bisimple and all of its non-
Gutik, Oleg, Repovš, Dušan
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On distal and equicontinuous compact right topological groups
W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (?G, G) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case ...
Paul Milnes
wiley +1 more source
Idempotent probability measures on compact semitopological semigroups. [PDF]
The structure of idempotent probability measures on compact topological semigroups is well known (see, for example, [2], [41, [7] and [9]). However, the statement in [8] that the methods of [7] can be used to obtain identical results when the semigroup is only semitopological (i.e.
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On L-Fuzzy Semitopological Semigroups
The author has introduced the concepts of an \(L\)-fuzzy right topological semigroup, an \(L\)-fuzzy left topological semigroup, an \(L\)-fuzzy topological semigroup, and an \(L\)-fuzzy semitopological semigroup where \(L\) is a Heyting algebra; it has been shown that every semitopological semigroup \((X,T)\) is a fuzzy semitopological semigroup with ...
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A note on quasi R*‐invariant measures on semigroups
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 structure of their support.
N. A. Tserpes
wiley +1 more source
In this paper we study submonoids of the monoid $\mathscr{I}_{\infty}^{\,\Rsh\!\!\nearrow}(\mathbb{N})$ of almost monotone injective co-finite partial selfmaps of positive integers $\mathbb{N}$.
O.V. Gutik, A.S. Savchuk
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Categorically closed topological groups
Let $\mathcal C$ be a subcategory of the category of topologized semigroups and their partial continuous homomorphisms. An object $X$ of the category ${\mathcal C}$ is called ${\mathcal C}$-closed if for each morphism $f:X\to Y$ of the category ...
Banakh, Taras
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On locally compact shift-continuous topologies on the α-bicyclic monoid
A topology τ on a monoid S is called shift-continuous if for every a, b ∈ S the two-sided shift S → S, x ↦ axb, is continuous. For every ordinal α ≤ ω, we describe all shift-continuous locally compact Hausdorff topologies on the α-bicyclic monoid Bα ...
Bardyla Serhii
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FLOWS AND UNIVERSAL COMPACTIFICATIONS [PDF]
The main purpose of this paper is to establish a relation between universality of certain P-compactifications of a semitopological semigroup and their corresponding enveloping semigroups.
doaj
Preduals of semigroup algebras [PDF]
For a locally compact group $G$, the measure convolution algebra $M(G)$ carries a natural coproduct. In previous work, we showed that the canonical predual $C_0(G)$ of $M(G)$ is the unique predual which makes both the product and the coproduct on $M(G ...
Daws, Matthew +2 more
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