Results 41 to 50 of about 12,547 (197)

Semigroup Closures of Finite Rank Symmetric Inverse Semigroups

open access: yes, 2008
We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
A. Abd-Allah   +35 more
core   +1 more source

From set-valued dynamical processes to fractals [PDF]

open access: yesOpuscula Mathematica
We 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
doaj   +1 more source

Profinite algebras and affine boundedness

open access: yes, 2016
We prove a characterization of profinite algebras, i.e., topological algebras that are isomorphic to a projective limit of finite discrete algebras. In general profiniteness concerns both the topological and algebraic characteristics of a topological ...
Schneider, Friedrich Martin   +1 more
core   +1 more source

Automatic continuity of homomorphisms between topological inverse semigroups

open access: yesTopological Algebra and its Applications, 2018
We find conditions on topological inverse semigroups X, Y guaranteeing the continuity of any homomorphism h : X → Y having continuous restrictions to any subsemilattice and any subgroup of X.
Pastukhova Iryna
doaj   +1 more source

Topological Wiener-Wintner theorems for amenable operator semigroups

open access: yes, 2013
Inspired by topological Wiener-Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on $C(K)$ and show the connection to the convergence of strong and weak ergodic nets.
Schreiber, Marco
core   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
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
wiley   +1 more source

Categorically Closed Unipotent Semigroups

open access: yesAxioms, 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
doaj   +1 more source

The Global Glimm Property for C*‐algebras of topological dimension zero

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract We show that a C∗$C^*$‐algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is nowhere scattered (no hereditary subalgebra admits a finite‐dimensional representation). This solves the Global Glimm Problem in this setting.
Ping Wong Ng   +2 more
wiley   +1 more source

On monoids of monotone injective partial self-maps of integers with cofinite domains and images

open access: yes, 2012
We study the semigroup $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ of monotone injective partial selfmaps of the set of integers having cofinite domain and image. We show that $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ is bisimple and all of its non-
Gutik, Oleg, Repovš, Dušan
core   +1 more source

Noncommutative polygonal cluster algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg   +3 more
wiley   +1 more source

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