Results 11 to 20 of about 175 (135)
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 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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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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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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Topological Additively Representable Semigroups
Journal of Mathematical Analysis and Applications, 1997 A totally ordered set \((S,\lesssim)\) is called representable if there exists a map \(\mu: X\to\mathbb{R}\) such that \(x\lesssim y\) if and only if \(\mu(x) \leq\mu(y)\) for every \(x,y\in X\). This paper is to extend the above concept to totally ordered connected topological semigroups.
Candeal, Juan Carlos +2 more
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