Results 41 to 50 of about 497 (94)

On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this paper we study submonoids of the monoid $\mathscr{I}_{\infty}^{\,\Rsh\!\!\nearrow}(\mathbb{N})$ of almost monotone injective co-finite partial selfmaps of positive integers $\mathbb{N}$.
O.V. Gutik, A.S. Savchuk
doaj   +1 more source

On a complete topological inverse polycyclic monoid

, 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.
Bardyla, Serhii, Gutik, Oleg
core   +2 more sources

On locally compact shift-continuous topologies on the α-bicyclic monoid

Topological Algebra and its Applications, 2018
A topology τ on a monoid S is called shift-continuous if for every a, b ∈ S the two-sided shift S → S, x ↦ axb, is continuous. For every ordinal α ≤ ω, we describe all shift-continuous locally compact Hausdorff topologies on the α-bicyclic monoid Bα ...
Bardyla Serhii
doaj   +1 more source

Preduals of semigroup algebras [PDF]

, 2008
For a locally compact group $G$, the measure convolution algebra $M(G)$ carries a natural coproduct. In previous work, we showed that the canonical predual $C_0(G)$ of $M(G)$ is the unique predual which makes both the product and the coproduct on $M(G ...
Daws, Matthew, Pham, Hung Le, White, Stuart   +2 more
core  

FLOWS AND UNIVERSAL COMPACTIFICATIONS [PDF]

Journal of Sciences, Islamic Republic of Iran, 1997
The main purpose of this paper is to establish a relation between universality of certain P-compactifications of a semitopological semigroup and their corresponding enveloping semigroups.
doaj  

On metrizable enveloping semigroups [PDF]

, 2006
When a topological group $G$ acts on a compact space $X$, its enveloping semigroup $E(X)$ is the closure of the set of $g$-translations, $g\in G$, in the compact space $X^X$. Assume that $X$ is metrizable.
Glasner, Eli, Megrelishvili, Michael, Uspenskij, Vladimir V.   +2 more
core   +4 more sources

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

, 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

On locally compact shift continuous topologies on the semigroup $\boldsymbol{B}_{[0,\infty)}$ with an adjoined compact ideal

Математичні Студії
Let $[0,\infty)$ be the set of all non-negative real numbers. The set $\boldsymbol{B}_{[0,\infty)}=[0,\infty)\times [0,\infty)$ with the following binary operation $(a,b)(c,d)=(a+c-\min\{b,c\},b+d-\min\{b,c\})$ is a bisimple inverse semigroup.
O. V. Gutik, M. B. Khylynskyi
doaj   +1 more source

Joint continuity in semitopological semigroups

Illinois Journal of Mathematics, 1974
The principal goal of this paper is squeezing out points of joint continuity from a separately continuous action of a semigroup on a topological space. The paper itself is a variation on a theme by R.Ellis, who showed that separate continuity on a locally compact Hausdorff group implies joint continuity for the multiplication function $[6]$.
openaire   +3 more sources

Bregman nonexpansive type actions of semitopological semigroups

, 2020
Let $S$ be a semitopological semigroup, and let $C$ be a nonempty closed convex subset of a reflexive Banach space. Under some amenability conditions on $S$, we provide existence results of fixed points for several Bregman nonexpansive type actions $S\times C\to C$, $(s,x)\mapsto T_s x$, of $S$ on $C$.
Muoi, Bui Ngoc, Wong, Ngai-Ching
openaire   +2 more sources