Results 61 to 70 of about 21,261 (117)
On a semitopological polycyclic monoid [PDF]
We study algebraic structure of the λ-polycyclic monoid Pλ and its topologizations. We show that the λ-polycyclic monoid for an infinite cardinal λ≥2 has similar algebraic properties so has the polycyclic monoid Pn with finitely many n≥2 generators.
Gutik, O., Bardyla, S.
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opological monoids of almost monotone injective co-finite partial selfmaps of positive integers
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
Cayley automaton semigroups [PDF]
Let S be a semigroup, C(S) the automaton constructed from the right Cayley graph of S with respect to all of S as the generating set and ∑(C(S)) the automaton semigroup constructed from C(S). Such semigroups are termed Cayley automaton semigroups. For
McLeman, Alexander Lewis Andrew
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Means, homomorphisms, and compactifications of weighted semitopological semigroups
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
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On a semitopological α-bicyclic semigroup
Bardyla S. On a semitopological α-bicyclic semigroup / S. Bardyla // Algebraic and geometric methods of analysis: book of abstr. the Intern. sci. conf., Odessa, 31 May – 05 June 2017 / [Odesa Nat. Acad. of Food Technologies et al.]. – Odessa, 2017.
Bardyla, S.
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Conditionally compact semitopological one-parameter inverse semigroups of partial isometries
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
M. O. Bertman
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On the closure of the extended bicyclic semigroup
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
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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On semitopological actions of generalized I-semigroups
The following problem was posed by \textit{J. D. Lawson} [Semigroup Forum 12, 265-280 (1976; Zbl 0327.22003)]. Let I be the interval [0,1], provided with the ''min''-multiplication. Is it true that every semitopological action of I on a compact space is in fact a topological action?
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Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid [PDF]
Let Tn be the full transformation semigroup of all mappings from the set {1, . . . , n} to itself under composition. Let E = E(Tn) denote the set of idempotents of Tn and let e ∈ E be an arbitrary idempotent satisfying |im (e)| = r ≤ n − 2. We prove that
Ruskuc, N. +3 more
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