Results 11 to 20 of about 517 (102)

A metrizable semitopological semilattice with non-closed partial order

open access: yesTopological Algebra and its Applications, 2020
We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras   +2 more
doaj   +2 more sources

On the transformation semitopological semigroup [PDF]

open access: yesInternational 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   +2 more sources

Semigroup Closures of Finite Rank Symmetric Inverse Semigroups

open access: yesSemigroup Forum, 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   +3 more sources

An amenability property of algebras of functions on semidirect products of semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
Let S1 and S2 be semitopological semigroups, S1 τ  S2 a semidirect product. An amenability property is established for algebras of functions on S1 τ  S2.
Bao-Ting Lerner
doaj   +2 more sources

On the Semitopological Extended Bicyclic Semigroup with Adjoined Zero

open access: yesJournal of Mathematical Sciences, 2022
8 pages.
Gutik, Oleg, Maksymyk, Kateryna
openaire   +4 more sources

The semigroup of ultrafilters near an idempotent of a semitopological semigroup

open access: yesTopology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akbari Tootkaboni, M., Vahed, T.
openaire   +3 more sources

Compact semitopological inverse Clifford Semigroups

open access: yesSemigroup Forum, 1972
An inverse Clifford Semigroup is a semilattice of groups. Conditions are given for constructing a compact semitopological (separately continuous multiplication) inverse Clifford semigroup on a compact Hausdorff semilattice. The conditions are necessary and sufficient for decomposing a compact inverse Clifford semigroup containing a dense subgroup and ...
openaire   +4 more sources

The group of characters of a pseudocompact locally compact semitopological semigroup

open access: yesApplied 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   +3 more sources

Some compactifications of a semitopological semigroup

open access: yesSemigroup Forum, 1986
Let (\(\Psi\),X) be a right topological compactification of a semitopological semigroup S. The main result here is a characterization of the closed left ideals of X in terms of some zero sets of S.
openaire   +3 more sources

Central Sets Theorem Near of an Idempotent in Wap-Compactification

open access: yesJournal of Function Spaces, 2023
A small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wap-compactification of a ...
Ali Pashapournia   +2 more
doaj   +1 more source

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