Results 51 to 60 of about 517 (102)
On a complete topological inverse polycyclic monoid
, 2016 We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups.
Bardyla, Serhii, Gutik, Oleg
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Математичні СтудіїLet $[0,\infty)$ be the set of all non-negative real numbers. The set $\boldsymbol{B}_{[0,\infty)}=[0,\infty)\times [0,\infty)$ with the following binary operation $(a,b)(c,d)=(a+c-\min\{b,c\},b+d-\min\{b,c\})$ is a bisimple inverse semigroup.
O. V. Gutik, M. B. Khylynskyi
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Joint continuity in semitopological semigroups
Illinois Journal of Mathematics, 1974 The principal goal of this paper is squeezing out points of joint continuity from a separately continuous action of a semigroup on a topological space. The paper itself is a variation on a theme by R.Ellis, who showed that separate continuity on a locally compact Hausdorff group implies joint continuity for the multiplication function $[6]$.
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Bregman nonexpansive type actions of semitopological semigroups
, 2020 Let $S$ be a semitopological semigroup, and let $C$ be a nonempty closed convex subset of a reflexive Banach space. Under some amenability conditions on $S$, we provide existence results of fixed points for several Bregman nonexpansive type actions $S\times C\to C$, $(s,x)\mapsto T_s x$, of $S$ on $C$.
Muoi, Bui Ngoc, Wong, Ngai-Ching
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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,
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On metrizable enveloping semigroups [PDF]
, 2006 When a topological group $G$ acts on a compact space $X$, its enveloping semigroup $E(X)$ is the closure of the set of $g$-translations, $g\in G$, in the compact space $X^X$. Assume that $X$ is metrizable.
Glasner, Eli +2 more
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opological monoids of almost monotone injective co-finite partial selfmaps of positive integers
Karpatsʹkì Matematičnì Publìkacìï, 2010 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.
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THE ANALOGUE OF WEIGHTED GROUP ALGEBRA FOR SEMITOPOLOGICAL SEMIGROUPS [PDF]
Journal of Sciences, Islamic Republic of Iran, 1995 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 ...
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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. +1 more
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Conditionally compact semitopological one-parameter inverse semigroups of partial isometries [PDF]
Transactions of the American Mathematical Society, 1978 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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