Results 1 to 10 of about 448 (71)
On semigroups of transformations that preserve a double direction equivalence
Open Mathematics, 2023 For a non-empty set XX, denote the full transformation semigroup on XX by T(X)T\left(X) and suppose that EE is an equivalence relation on XX. Evidently, TE∗(X)={α∈T(X)∣(x,y)∈Eif and only if(xα,yα)∈Efor allx,y∈X}{T}_{{E}^{\ast }}\left(X)=\left\{\alpha \in
Chen Hui, Liu Xin, Wang Shoufeng
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A characterization of a ∼ admissible congruence on a weakly type B semigroup
Open Mathematics, 2023 In this article, the notions of ∼ \sim admissible congruences and ∼ \sim normal congruences on a weakly type B semigroup are characterized and the relationship between ∼ \sim admissible congruences and ∼ \sim normal congruences is investigated.
Li Chunhua +3 more
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Some results on semigroups of transformations with restricted range
Open Mathematics, 2021 Let XX be a non-empty set and YY a non-empty subset of XX. Denote the full transformation semigroup on XX by T(X)T\left(X) and write f(X)={f(x)∣x∈X}f\left(X)=\{f\left(x)| x\in X\} for each f∈T(X)f\in T\left(X). It is well known that T(X,Y)={f∈T(X)∣f(X)⊆Y}
Yan Qingfu, Wang Shoufeng
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Admissible congruences on type B semigroups
Open Mathematics, 2022 The main aim of this article is to study admissible congruences on a type B semigroup. First, we give characterizations of the minimum admissible congruence whose trace is a normal congruence on a type B semigroup.
Li Chunhua +3 more
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The lattice of (2, 1)-congruences on a left restriction semigroup
Open Mathematics, 2022 All the (2, 1)-congruences on a left restriction semigroup become a complete sublattice of its lattice of congruences. The aim of this article is to study certain fundamental properties of this complete sublattice.
Liu Haijun, Guo Xiaojiang
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The transitivity of primary conjugacy in regular ω-semigroups
Open Mathematics, 2022 The conjugacy relation plays an important role in group theory and the conjugacy relation of groups has been generalized to semigroups in various methods by several authors.
Liu Xin, Wang Shoufeng
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A characterization of translational hulls of a strongly right type B semigroup
Open Mathematics, 2019 The aim of this paper is to study the translational hull of a strongly right type B semigroup. Our main result is to prove that the translational hull of a strongly right type B semigroup is itself a strongly right type B semigroup. As an application, we
Li Chunhua, Xu Baogen
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On pomonoid of partial transformations of a poset
Open Mathematics, 2023 The main objective of this article is to study the ordered partial transformations PO(X){\mathcal{PO}}\left(X) of a poset XX. The findings show that the set of all partial transformations of a poset with a pointwise order is not necessarily a pomonoid ...
Al Subaiei Bana
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All Maximal Idempotent Submonoids of Generalized Cohypersubstitutions of Type τ = (2)
Discussiones Mathematicae - General Algebra and Applications, 2021 A generalized cohypersubstitution of type τ is a mapping σ which maps every ni-ary cooperation symbol fi to the coterm σ(f ) of type τ = (ni)i∈I. Denote by CohypG(τ) the set of all generalized cohypersubstitutions of type τ.
Chansuriya Nagornchat
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On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups
Open Mathematics, 2020 In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.
Çullhaj Fabiana, Krakulli Anjeza
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