Results 31 to 40 of about 990 (221)
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.
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Green index in semigroups : generators, presentations and automatic structures
, 2012 The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +4 more
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From set-valued dynamical processes to fractals [PDF]
Opuscula MathematicaWe present a general theory of topological semiattractors and attractors for set-valued semigroups. Our results extend and unify those previously obtained by Lasota and Myjak.
Grzegorz Guzik, Grzegorz Kleszcz
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
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Ideals and finiteness conditions for subsemigroups
, 2013 In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroups with finite Rees or Green index. Specific properties under consideration
Ruskuc, N. +7 more
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Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
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A Fibering Theorem for Topological Semigroups [PDF]
Proceedings of the American Mathematical Society, 1963 The theorem of this paper has appeared under stronger hypotheses and sometimes with weaker conclusions a number of times [1; 2; 3 ], and was known to Koch (in approximately the form of [2]) in 1959 (unpublished). Since it is a useful tool in the study of topological semigroups, and the proof here is simpler, and the theorem stronger than those ...
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Stochastic Dynamics From Maximum Entropy in Action Space
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
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Homotopy theory for topological semigroups
, 2002 We define the homotopy theory for topological semigroups and study some of its basic properties. The notions of the retract, the contractible space, the fibration, and the cofibration are extended to topological semigroups.
Čerin, Zvonko
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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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