Results 21 to 30 of about 16,532 (225)
Brandt Extensions and Primitive Topological Inverse Semigroups
International Journal of Mathematics and Mathematical Sciences, 2010 We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological
Tetyana Berezovski +2 more
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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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On a topological simple Warne extension of a semigroup [PDF]
, 2012 In the paper we introduce topological $\mathbb{Z}$-Bruck-Reilly and topological $\mathbb{Z}$-Bruck extensions of (semi)topological monoids which are generalizations of topological Bruck-Reilly and topological Bruck extensions of (semi)topological monoids
Fihel, Iryna +2 more
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On the Cohomology of Topological Semigroups
Communications in Advanced Mathematical Sciences, 2019 In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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On feebly compact topologies on the semilattice $\exp_n\lambda$ [PDF]
, 2016 We study feebly compact topologies $\tau$ on the semilattice $\left(\exp_n\lambda,\cap\right)$ such that $\left(\exp_n\lambda,\tau\right)$ is a semitopological semilattice. All compact semilattice $T_1$-topologies on $\exp_n\lambda$ are described.
Gutik, Oleg, Sobol, Oleksandra
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Topologically transitive matrix semigroups [PDF]
Operators and Matrices, 2007 [1] R. DRNOVSEK, L. LIVSHITS, G. MACDONALD, B. MATHES, H. RADJAVI AND P. SEMRL, On transitive linear semigroups, Linear Algebra Appl., 305, 2000, 67–86. [2] F. KALSCHEUER, Die bestimmung aller stetigen fastkorper uber dem korper der rellen zahlen als grundkorper, Abh. Math. Sem. Hansische Univ. 13, 1940, 413–435. [3] H. RADJAVI AND P.
Leo Livshits +2 more
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International Journal of Mathematics and Mathematical Sciences, 1988 Let f:X→Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X∪Y is a topological semigroup, when the modified Whyburn topology is placed on X∪Y.
Beth Borel Reynolds, Victor Schneider
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Embedding topological semigroups in topological groups [PDF]
Semigroup Forum, 1970 In [6] Rothman investigated the problem of embedding a topological semigroup in a topological group. He defined a concept calledProperty F and showed that Property F is a necessary and sufficient condition for embedding a commutative, cancellative topological semigroup in its group of quotients as an open subset.
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On Maximal Ideals of Compact Connected Topological Semigroups
International Journal of Mathematics and Mathematical Sciences, 2010 Several results concerning ideals of a compact topological semigroup 𝑆 with 𝑆2=𝑆 can be found in the literature. In this paper, we further investigate in a compact connected topological semigroup 𝑆 how the conditions 𝑆2=𝑆 and 𝑆2≠𝑆 affect the structure ...
Phoebe McLaughlin +2 more
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Categorically Closed Unipotent Semigroups
Axioms, 2022 Let C be a class of T1 topological semigroups, containing all Hausdorff zero-dimensional topological semigroups. A semigroup X is C-closed if X is closed in any topological semigroup Y∈C that contains X as a discrete subsemigroup; X is injectively C ...
Taras Banakh, Myroslava Vovk
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