Results 51 to 60 of about 497 (94)

Categorically closed topological groups

open access: yes, 2017
Let $\mathcal C$ be a subcategory of the category of topologized semigroups and their partial continuous homomorphisms. An object $X$ of the category ${\mathcal C}$ is called ${\mathcal C}$-closed if for each morphism $f:X\to Y$ of the category ...
Banakh, Taras
core   +2 more sources

Primitive idempotent measures on compact semitopological semigroups [PDF]

open access: yesJournal of the Australian Mathematical Society, 1972
For a semigroup S let I(S) be the set of idempotents in S. A natural partial order of I(S) is defined by e ≦ f if ef = fe = e. An element e in I(S) is called a primitive idempotent if e is a minimal non-zero element of the partially ordered set (I(S), ≦). It is easy to see that an idempotent e in S is primitive if and only if, for any idempotent f in S,
openaire   +1 more source

Compactifications of topological groups [PDF]

open access: yes, 2001
Every topological group $G$ has some natural compactifications which can be a useful tool of studying $G$. We discuss the following constructions: (1) the greatest ambit $S(G)$ is the compactification corresponding to the algebra of all right uniformly ...
Uspenskij, Vladimir
core   +1 more source

opological monoids of almost monotone injective co-finite partial selfmaps of positive integers

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2010
In this paper we study the semigroup$mathscr{I}_{infty}^{,Rsh!!!earrow}(mathbb{N})$ of partialco-finite almost monotone bijective transformations of the set ofpositive integers $mathbb{N}$.
Chuchman I.Ya., Gutik O.V.
doaj  

The semigroup of ultrafilters near an idempotent of a semitopological semigroup

open access: yesTopology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akbari Tootkaboni, M., Vahed, T.
openaire   +1 more source

THE ANALOGUE OF WEIGHTED GROUP ALGEBRA FOR SEMITOPOLOGICAL SEMIGROUPS [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 1995
In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological ...
doaj  

Some compactifications of a semitopological semigroup

open access: yesSemigroup 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.
openaire   +1 more source

Means, homomorphisms, and compactifications of weighted semitopological semigroups

open access: yesProceedings - Mathematical Sciences, 1999
The algebras of complex-valued functions \(f\) from a weighted semitopological semigroup \((S,w)\) such that \(\frac fw\) is continuous are studied (a weighted semitopological semigroup \((S,w)\) is a semitopological semigroup \(S\) and a function \(w:S\to (0,\infty)\) such that \(w\) is bounded to any compact subset of \(S\) and \(w(st)\leq w(s)w(t)\)
Khadem-Maboudi, A. A.   +1 more
openaire   +2 more sources

Conditionally compact semitopological one-parameter inverse semigroups of partial isometries [PDF]

open access: yesTransactions of the American Mathematical Society, 1978
The algebraic structure of one-parameter inverse semigroups has been completely described. Furthermore, if B is the bicyclic semigroup and if B is contained in any semitopological semigroup, the relative topology on B is discrete. We show that if F is an inverse semigroup generated by an element and its inverse, and F is contained in a compact ...
openaire   +1 more source

On the closure of the extended bicyclic semigroup

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2011
In the paper we study the semigroup $mathscr{C}_{mathbb{Z}}$which is a generalization of the bicyclic semigroup. We describemain algebraic properties of the semigroup$mathscr{C}_{mathbb{Z}}$ and prove that every non-trivialcongruence $mathfrak{C}$ on the
I. R. Fihel, O. V. Gutik
doaj  

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