Results 21 to 30 of about 16,167 (197)
Semigroups of Right Quotients of Topological Semigroups [PDF]
Transactions of the American Mathematical Society, 1970 Es sei \(S=(S, \cdot, \mathfrak S)\) eine topologische Halbgruppe und \(T= (T, \cdot) = Q_r(S,\Sigma)\) eine Rechtsquotientenhalbgruppe von \(S\) bezüglich einer Unterhalbgruppe \(\Sigma\) von \(S\). Gegenstand der Arbeit ist die Untersuchung von Topologien \(\mathfrak T\) auf \(T\), so daß \((T, \cdot, \mathfrak T)\) topologische Halbgruppe ist und \(\
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Semigroups and their topologies arising from Green's left quasiorder
Applied General Topology, 2008 Given a semigroup (S, ·), Green’s left quasiorder on S is given by a ≤ b if a = u · b for some u ϵ S1. We determine which topological spaces with five or fewer elements arise as the specialization topology from Green’s left quasiorder for an appropriate ...
Bettina Richmond
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Extending binary operations to funtor-spaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 Given a continuous monadic functor $T:\mathbf{Comp}\to\mathbf{Comp}$ in the category of compacta and a discrete topological semigroup $X$ we extend the semigroup operation $\varphi:X\times X\to X$ to a right-topological semigroup operation $\Phi:T\beta X\
T. O. Banakh, V. M. Gavrylkiv
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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 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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A Note on the Topology of Space-time in Special Relativity [PDF]
, 2003 We show that a topology can be defined in the four dimensional space-time of special relativity so as to obtain a topological semigroup for time. The Minkowski 4-vector character of space-time elements as well as the key properties of special relativity ...
Bohm A +5 more
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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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The $LMC$-compactification of a topologized semigroup [PDF]
Czechoslovak Mathematical Journal, 1988 It is known [\textit{J. Berglund}, \textit{H. Jungheim}, and \textit{P. Milnes}, Compact right topological semigroups and generalizations of almost periodicity (Lect. Notes Math. 663, 1978; Zbl 0406.22005)] that any Hausdorff semitopological semigroup (operation is separately continuous on both sides) has a compactification (e,X) maximal with respect ...
Hindman, Neil, Milnes, Paul
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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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