Results 31 to 40 of about 497 (94)
On the Semitopological Extended Bicyclic Semigroup with Adjoined Zero
Journal of Mathematical Sciences, 2022 8 pages.
Gutik, Oleg, Maksymyk, Kateryna
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On the closure of the extended bicyclic semigroup
Karpatsʹkì Matematičnì Publìkacìï, 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 $\mathbb{C}$
I. R. Fihel, O. V. Gutik
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Banach representations and affine compactifications of dynamical systems
, 2013 To every Banach space V we associate a compact right topological affine semigroup E(V). We show that a separable Banach space V is Asplund if and only if E(V) is metrizable, and it is Rosenthal (i.e.
Glasner, Eli, Megrelishvili, Michael
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Vector‐valued means and weakly almost periodic functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 227-237, 1994., 1992 A formula is set up between vector‐valued mean and scalar‐valued means that enables us translate many important results about scalar‐valued means developed in [1] to vector‐valued means. As applications of the theory of vector‐valued means, we show that the definitions of a mean in [2] and [3] are equivalent and the space of vector‐valued weakly almost
Chuanyi Zhang
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Idempotent probability measures on compact semitopological semigroups. [PDF]
Proceedings of the American Mathematical Society, 1969 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 distal and equicontinuous compact right topological groups
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 379-388, 1994., 1994 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
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On L-Fuzzy Semitopological Semigroups
Journal of Mathematical Analysis and Applications, 1993 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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Compact semitopological inverse Clifford Semigroups
Semigroup Forum, 1972 An inverse Clifford Semigroup is a semilattice of groups. Conditions are given for constructing a compact semitopological (separately continuous multiplication) inverse Clifford semigroup on a compact Hausdorff semilattice. The conditions are necessary and sufficient for decomposing a compact inverse Clifford semigroup containing a dense subgroup and ...
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A note on quasi R*‐invariant measures on semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 727-730, 1990., 1990 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
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Semigroup Closures of Finite Rank Symmetric Inverse Semigroups
, 2008 We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
A. Abd-Allah +35 more
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