Results 31 to 40 of about 687 (157)
On representation of semigroups of inclusion hyperspaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 Given a group $X$ we study the algebraic structure of the compact right-topological semigroup $G(X)$ consisting of inclusion hyperspaces on $X$. This semigroup contains the semigroup $\lambda(X)$ of maximal linked systems as a closed subsemigroup.
V. M. Gavrylkiv
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Extremal topologies on a semigroup
Topology and its Applications, 1991 AbstractFor many semigroups (S, +) it is possible to prove the existence of extremal left translation invariant and extremal left translation invariant zero dimensional topologies. In this paper the origin of such topologies and their relation to idempotents in βS, the Stone-Čech compactification of S, for semigroups with identity is investigated.
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Quasiminimal distal function space and its semigroup compactification
International Journal of Mathematics and Mathematical Sciences, 1995 Quasiminimal distal function on a semitopological semigroup is introduced. The concept of right topological semigroup compactification is employed to study the algebra of quasiminimal distal functions.
R. D. Pandian
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On the construction of one-parameter semigroups in topological semigroups [PDF]
Pacific Journal of Mathematics, 1976 Let Sbe a topological Hausdorff semigroup and s e S b e a strongly root compact element. Then there are an algebraic morphism /: Q+ U {0} -* S with /(0) = e9 /(I) = s, and a oneparameter semigroup φ:H->S which satisfy the following properties: If K = Π {/( ]0, e[Q): 0 < e < 1}, then K is a compact connected abelian subgroup of ^ ( e ) , ^(0) = e, φ(H ...
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An Application of Sombor Index over a Special Class of Semigroup Graph
Journal of Mathematics, 2021 Recently, Gutman introduced a class of novel topological invariants named Sombor index which is defined asSOG=∑uv∈EGdu2+dv2. In this study, the Sombor index of monogenic semigroup graphs, which is an important class of algebraic structures, is calculated.
Seda Oğuz Ünal
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Complete Invariant ⋆-Metrics on Semigroups and Groups
Axioms, 2022 In this paper, we study the complete ⋆-metric semigroups and groups and the Raǐkov completion of invariant ⋆-metric groups. We obtain the following. (1) Let (X,d⋆) be a complete ⋆-metric space containing a semigroup (group) G that is a dense subset of X.
Shi-Yao He, Jian-Cai Wei, Li-Hong Xie
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Metrizability of Clifford topological semigroups [PDF]
Semigroup Forum, 2011 We prove that a topological Clifford semigroup $S$ is metrizable if and only if $S$ is an $M$-space and the set $E=\{e\in S:ee=e\}$ of idempotents of $S$ is a metrizable $G_ $-set in $S$. The same metrization criterion holds also for any countably compact Clifford topological semigroup $S$.
Oles Potiatynyk +4 more
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On a complete topological inverse polycyclic monoid
Karpatsʹkì Matematičnì Publìkacìï, 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.
S.O. Bardyla, O.V. Gutik
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Thickness in topological transformation semigroups
International Journal of Mathematics and Mathematical Sciences, 1993 This article deals with thickness in topological transformation semigroups (τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on a τ-semigroup if there exists an invariant mean on its ...
Tyler Haynes
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Semigroup compactification of projective limits of topological semigroups
Topology and its Applications, 1994 AbstractThe purpose of this paper is to present some results concerning semigroup compactifications. It is shown that the limit of the projective system of semigroup compactifications of a topological semigroup S itself is a semigroup compactification of S.
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