Results 31 to 40 of about 382,533 (273)

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

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

Extending binary operations to funtor-spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
Given a continuous monadic functor $T:\mathbf{Comp}\to\mathbf{Comp}$ in the category of compacta and a discrete topological semigroup $X$ we extend the semigroup operation $\varphi:X\times X\to X$ to a right-topological semigroup operation $\Phi:T\beta X\
T. O. Banakh, V. M. Gavrylkiv
doaj   +1 more source

Series with Commuting Terms in Topologized Semigroups [PDF]

open access: yesAxioms, 2021
We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.
Castejón Lafuente, Alberto Elias   +2 more
openaire   +4 more sources

On the closure of the extended bicyclic semigroup

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
In the paper we study the semigroup $\mathcal{C}_{\mathbb{Z}}$ which is a generalization of the bicyclic semigroup. We describe main algebraic properties of the semigroup $\mathcal{C}_{\mathbb{Z}}$ and prove that every non-trivial congruence $\mathbb{C}$
I. R. Fihel, O. V. Gutik
doaj   +1 more source

On uniformly recurrent motions of topological semigroup actions

open access: yes, 2015
Let G ↷ X be a topological action of a topological semigroup $G$ on a compact metric space $X$. We show in this paper that for any given point $x$ in $X$, the following two properties that both approximate to periodicity are equivalent to each other: $
Bin Chen, Xiongping Dai
semanticscholar   +1 more source

Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics [PDF]

open access: yesForum mathematicum, 2017
Given a partial action π of an inverse semigroup S on a ring {\mathcal{A}} , one may construct its associated skew inverse
Viviane Beuter   +3 more
semanticscholar   +1 more source

Linearizability of Non-expansive Semigroup Actions on Metric Spaces [PDF]

open access: yes, 2006
We show that a non-expansive action of a topological semigroup S on a metric space X is linearizable iff its orbits are bounded. The crucial point here is to prove that X can be extended by adding a fixed point of S, thus allowing application of a ...
Schröder, Lutz
core   +4 more sources

Brandt Extensions and Primitive Topological Inverse Semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological
Tetyana Berezovski   +2 more
doaj   +1 more source

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