Results 11 to 20 of about 137 (87)
A generalization of the bicyclic semigroup [PDF]
Semigroup Forum, 1980 In this paper we study some properties of the subsemigroups of the bicyclic monoid B, by using a recent description of its subsemigroups. We start by giving necessary and sufficient conditions for a subsemigroup to be finitely generated.
Ruskuc, Nik +3 more
exaly +4 more sources
On the closure of the extended bicyclic semigroup
Karpatsʹkì 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
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On some generalization of the bicyclic semigroup: the topological version
Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna, 2022 12 ...
Cencelj, Matija +2 more
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On the closure of the bicyclic semigroup [PDF]
Transactions of the American Mathematical Society, 1969 In ?I, two properties of T are established which hold for arbitrary S; namely, that B is a discrete open subspace of T and T\B is an ideal of T if it is nonvoid. In ?11, we introduce the notion of a topological inverse semigroup and establish several properties of such objects. Some questions are posed.
Eberhart, Carl, Selden, John
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Karpatsʹkì Matematičnì Publìkacìï, 2013 In this paper we study the semigroup $\mathcal{I}_{\,\infty}^{?\nearrow}(\mathbb{N})$ of partial co-finite almost monotone bijective transformations of the set of positive integers $\mathbb{N}$.
I. Ya. Chuchman, O. V. Gutik
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The bicyclic semigroup as the quotient inverse semigroup by any gauge inverse submonoid
Journal of Algebra Combinatorics Discrete Structures and Applications, 2022 Every gauge inverse submonoid (including Jones-Lawson's gauge inverse submonoid of the polycyclic monoid $P_{n}$) is a normal submonoid. In 2018, Alyamani and Gilbert introduced an equivalence relation on an inverse semigroup associated to a normal inverse subsemigroup. The corresponding quotient set leads to an ordered groupoid.
Daniel Schwab, Emil
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opological monoids of almost monotone injective co-finite partial selfmaps of positive integers
Karpatsʹkì 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.
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Bicyclic Work done on a Star-like Finite Chain Semigroup.
This paper compares the work of bicyclic products and idempotent product chains on the star-like operator to demonstrate potential connections between semigroup and group theory. This research advances our understanding of star-like transformation semigroups and their algebraic features, particularly in terms of bicyclic and idempotent products.
Tijani, K. R. +4 more
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