Results 71 to 80 of about 196 (184)

Embedding topological semigroups in topological groups [PDF]

open access: yesSemigroup Forum, 1970
In [6] Rothman investigated the problem of embedding a topological semigroup in a topological group. He defined a concept calledProperty F and showed that Property F is a necessary and sufficient condition for embedding a commutative, cancellative topological semigroup in its group of quotients as an open subset.
openaire   +3 more sources

On Characterization of Open Sets in Euclidean Spaces

open access: yesITM Web of Conferences, 2018
A ternary semigroup is a nonempty set T together with a ternary oper- ation [abc] satisfying the associative law [[abc] de] = [a [bcd] e] = [ab [cde]] for all a, b, c, d, e ε T.
Muradov Firudin Kh.
doaj   +1 more source

An Extension of a result of Csiszar

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
We extend the results of Csiszar (Z. Wahr. 5(1966) 279-295) to a topological semigroup S. Let μ be a measure defined on S. We consider the value of α=supKcompactlimn→∞supx∈Sμn(Kx−1). First. we show that the value of α is either zero or one.
P. B. Cerrito
doaj   +1 more source

Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings

open access: yesComplexity, 2018
We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables.
Azza Alghamdi   +2 more
doaj   +1 more source

On representation of semigroups of inclusion hyperspaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
Given a group $X$ we study the algebraic structure of the compact right-topological semigroup $G(X)$ consisting of inclusion hyperspaces on $X$. This semigroup contains the semigroup $\lambda(X)$ of maximal linked systems as a closed subsemigroup.
V. M. Gavrylkiv
doaj   +1 more source

Some properties of linear right ideal nearrings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
In a previous paper, we determined all those topological nearrings 𝒩n whose additive groups are the n-dimensional Euclidean groups, n>1, and which contain n one-dimensional linear subspaces {Ji}i=1n which are also right ideals of the nearring with the ...
K. D. Magill
doaj   +1 more source

On Extensions over Semigroups and Applications

open access: yesEntropy, 2016
Applying a theorem according to Rhemtulla and Formanek, we partially solve an open problem raised by Hochman with an affirmative answer. Namely, we show that if G is a countable torsion-free locally nilpotent group that acts by homeomorphisms on X, and
Wen Huang, Lei Jin, Xiangdong Ye
doaj   +1 more source

Acting Fibrations and Lifting Functions in the Homotopy Theory of Single Intersection Graphs over Topological Semigroups

open access: yesMathematics
In this paper, we study the homotopy theory of single intersection graphs arising from acting spaces over topological semigroups. An acting space (S,B) is defined as a topological space B equipped with a continuous action of a topological semigroup S ...
Fozaiyah Alhubairah   +3 more
doaj   +1 more source

On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In this paper we study submonoids of the monoid $\mathscr{I}_{\infty}^{\,\Rsh\!\!\nearrow}(\mathbb{N})$ of almost monotone injective co-finite partial selfmaps of positive integers $\mathbb{N}$.
O.V. Gutik, A.S. Savchuk
doaj   +1 more source

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