Results 11 to 20 of about 16,137 (198)

A Note on the Topology of Space-time in Special Relativity [PDF]

open access: yes, 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
core   +3 more sources

Topological graph inverse semigroups

open access: yesTopology and its Applications, 2016
25 pages.
Mesyan, Z.   +3 more
openaire   +5 more sources

Extending binary operations to funtor-spaces

open access: yesKarpatsʹkì 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
doaj   +1 more source

Semigroups of Right Quotients of Topological Semigroups [PDF]

open access: yesTransactions 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 \(\
openaire   +2 more sources

Fourier Algebras on Topological Foundation *-Semigroups. [PDF]

open access: yesSemigroup Forum, 2004
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
openaire   +2 more sources

Brandt Extensions and Primitive Topological Inverse Semigroups

open access: yesInternational 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
doaj   +1 more source

On the closure of the extended bicyclic semigroup

open access: yesKarpatsʹkì 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
doaj   +1 more source

On feebly compact topologies on the semilattice $\exp_n\lambda$ [PDF]

open access: yes, 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
core   +1 more source

On the Cohomology of Topological Semigroups

open access: yesCommunications 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
doaj   +1 more source

Topologically transitive matrix semigroups [PDF]

open access: yesOperators 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
openaire   +1 more source

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