Results 71 to 80 of about 262,446 (205)

Graphical Homotopy Theory for Intersection Graphs of Semigroups via Path Spaces and Uniform Structures with Applications to Graphical Total Semigroups

Mathematics
In this article, we study the homotopy aspects of intersection graphs of topological semigroups. We begin by defining the top intersection graph TGX and investigating how the algebraic and topological properties of a topological semigroup are reflected ...
Maryam F. Alshammari, Fozaiyah Alhubairah, Amin Saif   +2 more
doaj   +1 more source

On topological McAlister semigroups

Journal of Pure and Applied Algebra, 2023
In this paper we consider McAlister semigroups over arbitrary cardinals and investigate their algebraic and topological properties. We show that the group of automorphisms of a McAlister semigroup $\mathcal{M}_λ$ is isomorphic to the direct product $Sym(λ){\times}\mathbb{Z}_2$, where $Sym(λ)$ is the group of permutations of the cardinal $λ$.
openaire   +2 more sources

Excursion theory for Markov processes indexed by Lévy trees

Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.
Abstract We develop an excursion theory that describes the evolution of a Markov process indexed by a Lévy tree away from a regular and instantaneous point x$x$ of the state space. The theory builds upon a notion of local time at x$x$ that was recently introduced in the companion paper [Probab. Theory Related Fields. 189 (2024), 1–99].
Armand Riera, Alejandro Rosales‐Ortiz
wiley   +1 more source

Constructions of positive commutative semigroups on the plane, II

International Journal of Mathematics and Mathematical Sciences, 1985
A positive semiroup is a topological semigroup containing a subsemigroup N isomorphic to the multiplicative semigroup of nonnegative real numbers, embedded as a closed subset of E2 in such a way that 1 is an identity and 0 is a zero.
Reuben W. Farley
doaj   +1 more source

A Levi–Civita Equation on Monoids, Two Ways

Annales Mathematicae Silesianae, 2022
We consider the Levi–Civita equation f(xy)=g1(x)h1(y)+g2(x)h2(y)f\left( {xy} \right) = {g_1}\left( x \right){h_1}\left( y \right) + {g_2}\left( x \right){h_2}\left( y \right) for unknown functions f, g1, g2, h1, h2 : S → ℂ, where S is a monoid.
Ebanks Bruce
doaj   +1 more source

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

Bulletin 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, Hannes Thiel, Eduard Vilalta   +2 more
wiley   +1 more source

Noncommutative polygonal cluster algebras

Journal 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, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

UNIVERSAL COMPACTIFICATIONS OF TRANSFORMATION SEMIGROUPS [PDF]

Journal of Sciences, Islamic Republic of Iran, 2000
We extend the notion of semigroup compactification to the class of transformation semigroups, and determine the compactifications which are universal with respect to some topological properties.
doaj  

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
doaj   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source