Results 11 to 20 of about 16,137 (198)
A Note on the Topology of Space-time in Special Relativity [PDF]
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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Topological graph inverse semigroups
25 pages.
Mesyan, Z. +3 more
openaire +5 more sources
Extending binary operations to funtor-spaces
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
doaj +1 more source
Semigroups of Right Quotients of Topological Semigroups [PDF]
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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Fourier Algebras on Topological Foundation *-Semigroups. [PDF]
We introduce the notion of the Fourier and Fouier-Stieltjes algebra of a topological *-semigroup and show that these are commutative Banach algebras. For a class of foundation semigroups, we show that these are preduals of von Neumann algebras.
Amini, Massoud, Medghalchi, Alireza
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Brandt Extensions and Primitive Topological Inverse Semigroups
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
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]
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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On the Cohomology of Topological Semigroups
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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Topologically transitive matrix semigroups [PDF]
[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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