Results 1 to 10 of about 175 (103)
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.
Abbas Sahleh +2 more
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The semigroup of ultrafilters near an idempotent of a semitopological semigroup
Topology and Its Applications, 2012 Let (T,+) be a Hausdorff semitopological semigroup, S be a dense subsemigroup of T and e be an idempotent element of T. The set eS⁎ of ultrafilters on S that converge to e is a semigroup under restriction of the usual operation + on βTd, the Stone–Čech ...
Akbari Tootkaboni, M., Vahed, T.
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On locally compact semitopological O-bisimple inverse ω-semigroups
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 ...
Oleg Gutik
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On the Semitopological Extended Bicyclic Semigroup with Adjoined Zero
Journal of Mathematical Sciences, 2022 8 pages.
Oleg Gutik
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A metrizable semitopological semilattice with non-closed partial order
Topological 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 ...
Taras Banakh +2 more
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Compact semitopological inverse Clifford Semigroups
Semigroup 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 ...
John F Berglund
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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
Hernández, Julio César
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On closures in semitopological inverse semigroups with continuous inversion
, 2014 We study the closures of subgroups, semilattices and different kinds of semigroup extensions in semitopological inverse semigroups with continuous inversion.
Gutik, O.
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Some compactifications of a semitopological semigroup
Semigroup 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.
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A compact monothetic semitopological semigroup whose set of idempotents is not closed
Semigroup Forum, 2001 International audienceFor each monothetic unitary group without proper co-compact subgroups, we show the existence of a compact semitopological semigroup (affine) compactification in which the set of idempotents is not closed, answering a question of J ...
Bouziad, Ahmed +2 more
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