On locally compact semitopological O-bisimple inverse ω-semigroups [PDF]
Topological Algebra and its Applications, 2018 We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
doaj +9 more sources
Reductive compactifications of semitopological semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We consider the enveloping semigroup of a flow generated by the action of a semitopological semigroup on any of its semigroup compactifications and explore the possibility of its being one of the known semigroup compactifications again.
Abdolmajid Fattahi +2 more
doaj +4 more sources
On the transformation semitopological semigroup [PDF]
International Mathematical Forum, 2007 In this paper we introduce the notion of weighted (weakly) almost periodic compactifcation of a semitopological semigroup and generalize this notion to corresponding notion for transformation semigroup.The inclusion relation and equality of some well ...
Abolghasemi, M. +2 more
core +6 more sources
Nonlinear ergodic theorems for a semitopological semigroup of non-Lipschitzian mappings without convexity [PDF]
Abstract and Applied Analysis, 1999 Let G be a semitopological semigroup, C a nonempty subset of a real Hilbert space H, and ℑ={Tt:t∈G} a representation of G as asymptotically nonexpansive type mappings of C into itself.
G. Li, J. K. Kim
doaj +4 more sources
The group of characters of a pseudocompact locally compact semitopological semigroup
Applied General TopologyWe 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 +6 more sources
On a semitopological semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ when a family $\mathscr{F}$ consists of inductive non-empty subsets of $\omega$ [PDF]
Математичні Студії, 2023 Let $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ be the bicyclic semigroup extension for the family $\mathscr{F}$ of ${\omega}$-closed subsets of $\omega$ which is introduced in \cite{Gutik-Mykhalenych=2020}.
O. V. Gutik, M. S. Mykhalenych
doaj +4 more sources
A CONSTRUCTION OF A SEMITOPOLOGICAL SEMIGROUP OF SOFT ULTRAFILTERS
IUG Journal of Natural Studies, 2021 Abstract. In this paper, we construct a semitopological semigroup consisting entirely of soft ultrafilters.
Ahmed El-Mabhouh, Wesam Mousa
semanticscholar +4 more sources
On locally compact semitopological graph inverse semigroups [PDF]
Matematychni Studii, 2018 In this paper we investigate locally compact semitopological graph inverse semigroups. Our main result is the following: if a directed graph $E$ is strongly connected and contains a finite amount of vertices then a locally compact semitopological graph inverse semigroup $G(E)$ is either compact or discrete.
Serhii Bardyla
semanticscholar +5 more sources
On a semitopological extended bicyclic semigroup with adjoined zero [PDF]
Journal of Mathematical Sciences, 2019 8 pages.
Олег Гутік, Kateryna Maksymyk
semanticscholar +4 more sources
On semitopological simple inverse $\omega$-semigroups with compact maximal subgroups
Carpathian Mathematical PublicationsWe describe the structure of ($0$-)simple inverse Hausdorff semitopological $\omega$-semigroups with compact maximal subgroups. In particular, we show that if $S$ is a simple inverse Hausdorff semitopological $\omega$-semigroup with compact maximal subgroups, then $S$ is topologically isomorphic to the Bruck-Reilly extension $\left(\mathbf{BR}(T,\theta)
Олег Гутік, Kateryna Maksymyk
semanticscholar +4 more sources