Results 51 to 60 of about 497 (94)
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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Primitive idempotent measures on compact semitopological semigroups [PDF]
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,
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Compactifications of topological groups [PDF]
Every topological group $G$ has some natural compactifications which can be a useful tool of studying $G$. We discuss the following constructions: (1) the greatest ambit $S(G)$ is the compactification corresponding to the algebra of all right uniformly ...
Uspenskij, Vladimir
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opological monoids of almost monotone injective co-finite partial selfmaps of positive integers
In this paper we study the semigroup$mathscr{I}_{infty}^{,Rsh!!!earrow}(mathbb{N})$ of partialco-finite almost monotone bijective transformations of the set ofpositive integers $mathbb{N}$.
Chuchman I.Ya., Gutik O.V.
doaj
The semigroup of ultrafilters near an idempotent of a semitopological semigroup
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Akbari Tootkaboni, M., Vahed, T.
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THE ANALOGUE OF WEIGHTED GROUP ALGEBRA FOR SEMITOPOLOGICAL SEMIGROUPS [PDF]
In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological ...
doaj
Some compactifications of a semitopological semigroup
Let (\(\Psi\),X) be a right topological compactification of a semitopological semigroup S. The main result here is a characterization of the closed left ideals of X in terms of some zero sets of S.
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Means, homomorphisms, and compactifications of weighted semitopological semigroups
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. +1 more
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Conditionally compact semitopological one-parameter inverse semigroups of partial isometries [PDF]
The algebraic structure of one-parameter inverse semigroups has been completely described. Furthermore, if B is the bicyclic semigroup and if B is contained in any semitopological semigroup, the relative topology on B is discrete. We show that if F is an inverse semigroup generated by an element and its inverse, and F is contained in a compact ...
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On the closure of the extended bicyclic semigroup
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

