Results 51 to 60 of about 16,532 (225)

The α-bicyclic semigroup as a topological semigroup

Semigroup Forum, 1984
C. Eberhart and J. Selden showed that the only Hausdorff topology on the bicyclic semigroup which makes it a topological semigroup is the discrete topology. A related result proved in this paper is the following: Let \(W_{\alpha}\) be the \(\alpha\)-bisimple semigroup. The only locally compact Hausdorff semigroup topology on \(W_{\alpha}\) is discrete.
openaire   +2 more sources

Invariance entropy for topological semigroup actions [PDF]

Proceedings of the American Mathematical Society, 2013
Invariance entropy for the action of topological semigroups acting on metric spaces is introduced. It is shown that invariance entropy is invariant under conjugations and a lower bound and upper bounds of invariance entropy are obtained. The special case of control systems is discussed.
Colonius, Fritz, Fukuoka, Ryuichi, Santana, Alexandre J.   +2 more
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Attractors for an Energy‐Damped Viscoelastic Plate Equation

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13864-13881, 30 September 2025.
ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso, M. J. D. Nascimento, M. L. Pelicer, I. A. S. Picolli   +3 more
wiley   +1 more source

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
doaj   +1 more source

A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley   +1 more source

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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On L-Fuzzy Topological Semigroups

Journal of Mathematical Analysis and Applications, 1993
With \(L\) as a complete Heyting algebra, \(\mu: X\to L\) an \(L\)-fuzzy subset of \(X\), the author has defined \(L\)-fuzzy topological space \((X,\mu,F)\) where \(F\subset L^ x\) satisfies some given conditions; he has defined the category FTOP by the collection of all \(L\)-fuzzy topological spaces with suitably defined morphisms. In a category \(C\)
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On multiplicative recurrence along linear patterns

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Donoso, Le, Moreira, and Sun (J. Anal. Math. 149 (2023), 719–761) study sets of recurrence for actions of the multiplicative semigroup (N,×)$(\mathbb {N}, \times)$ and provide some sufficient conditions for sets of the form S={(an+b)/(cn+d):n∈N}$S=\lbrace (an+b)/(cn+d) \colon n \in \mathbb {N}\rbrace $ to be sets of recurrence for such actions.
Dimitrios Charamaras, Andreas Mountakis, Konstantinos Tsinas   +2 more
wiley   +1 more source

The group of characters of a pseudocompact locally compact semitopological semigroup

Applied General Topology
We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with
Julio César Hernández Arzusa
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Topological and metric entropy for group and semigroup actions

Topological Algebra and its Applications, 2019
It is well-known that the classical definition of topological entropy for group and semigroup actions is frequently zero in some rather interesting situations, e.g. smooth actions of ℤk+ (k >1) on manifolds.
Stoyanov Luchezar
doaj   +1 more source