Results 1 to 10 of about 497 (94)

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, Mohamad Ali Pourabdollah, Abbas Sahleh   +2 more
doaj   +3 more sources

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 ...
Gutik Oleg
doaj   +7 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 known function spaces on a weighted transformation semigroup is also investigated.
Abolghasemi, M., Rejali, A., Vishki, H. R. E.   +2 more
openaire   +3 more sources

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   +3 more sources

Central Sets Theorem Near of an Idempotent in Wap-Compactification

Journal 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, Mohammad Akbari Tootkaboni, Davood Ebrahimi Bagha   +2 more
doaj   +1 more source

On a semitopological semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ when a family $\mathscr{F}$ consists of inductive non-empty subsets of $\omega$

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   +1 more source

On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero

Topological Algebra and its Applications, 2022
Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of ...
Gutik Oleg, Khylynskyi Pavlo
doaj   +1 more source

Compactifications of semitopological semigroups II [PDF]

Journal of the Australian Mathematical Society, 1976
AbstractCorrecting some “proofs” given in an earlier paper of the same title, we prove here, among other things, that, if S is a subgroup of a topological group that is complete in a left invariant metric or locally compact, then every weakly almost periodic function on S is (left and right) uniformly continuous.
openaire   +2 more sources

On Nonexpansive and Expansive Semigroup of Order-Preserving Total Mappings in Waist Metric Spaces

Journal of Nigerian Society of Physical Sciences, 2022
In this paper, we introduce nonexpansive and expansive semigroup of order-preserving total mappings (ONTn) and (OETn), respectively, to prove some fixed point theorems in waist metric spaces.
O. T. Wahab, I. F. Usamot, S. M. Alata, K. R. Tijani   +3 more
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Fixed point theorems for a semigroup of total asymptotically nonexpansive mappings in uniformly convex Banach spaces [PDF]

Opuscula Mathematica, 2014
In this paper, we provide existence and convergence theorems of common fixed points for left (or right) reversible semitopological semigroups of total asymptotically nonexpansive mappings in uniformly convex Banach spaces.
Suthep Suantai, Withun Phuengrattana
doaj   +1 more source