Results 1 to 10 of about 16,137 (198)

On locally compact semitopological O-bisimple inverse ω-semigroups

open access: yesTopological 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   +3 more sources

𝜅-topologies for right topological semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1992
Given a cardinal κ \kappa and a right topological semigroup S S with topology τ \tau , we consider the new topology obtained by declaring any intersection of at most κ \kappa members of τ \tau to be open.
Baker, John, Hindman, Neil, Pym, John
openaire   +2 more sources

Commutative Topological Semigroups Embedded into Topological Abelian Groups

open access: yesAxioms, 2020
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
doaj   +1 more source

APPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS [PDF]

open access: yesJournal of Algebraic Systems, 2014
Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the ...
bharam Mohammadzadeh
doaj   +1 more source

Closed subsets of compact-like topological spaces

open access: yesApplied General Topology, 2020
We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
doaj   +1 more source

Pseudocompact and precompact topological subsemigroups of topological groups

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
doaj   +1 more source

Pseudocompact Primitive Topological Inverse Semigroups [PDF]

open access: yesJournal of Mathematical Sciences, 2014
In the paper we study pseudocompact primitive topological inverse semigroups. We describe the structure of pseudocompact primitive topological inverse semigroups and show that a Tychonoff product of a family of pseudocompact primitive topological inverse semigroups is a pseudocompact topological space.
Gutik, Oleg, Pavlyk, Kateryna
openaire   +2 more sources

Semigroups and their topologies arising from Green's left quasiorder

open access: yesApplied General Topology, 2008
Given a semigroup (S, ·), Green’s left quasiorder on S is given by a ≤ b if a = u · b for some u ϵ S1. We determine which topological spaces with five or fewer elements arise as the specialization topology from Green’s left quasiorder for an appropriate ...
Bettina Richmond
doaj   +1 more source

Some faces of Smarandache semigroups' concept in transformation semigroups' approach [PDF]

open access: yes, 2007
In the following text, the main aim is to distinguish some relations between Smarad- che semigroups and (topological) transformation semigroups areas.
Ayatollah, Zadeh Shirazi, Hosseini, A.
core   +1 more source

Topological Additively Representable Semigroups

open access: yesJournal of Mathematical Analysis and Applications, 1997
A totally ordered set \((S,\lesssim)\) is called representable if there exists a map \(\mu: X\to\mathbb{R}\) such that \(x\lesssim y\) if and only if \(\mu(x) \leq\mu(y)\) for every \(x,y\in X\). This paper is to extend the above concept to totally ordered connected topological semigroups.
Candeal, Juan Carlos   +2 more
openaire   +2 more sources

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