Results 1 to 10 of about 71 (71)
Open Mathematics, 2021 Let T(X)T\left(X) be the full transformation semigroup on a set XX. For an equivalence EE on XX, let TE∗(X)={α∈T(X):∀x,y∈X,(x,y)∈E⇔(xα,yα)∈E}.{T}_{{E}^{\ast }}\left(X)=\left\{\alpha \in T\left(X):\forall x,y\in X,\left(x,y)\in E\iff \left(x\alpha ,y ...
Sangkhanan Kritsada
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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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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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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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On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero
Topological Algebra and its Applications, 2022 Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of ...
Gutik Oleg, Khylynskyi Pavlo
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Regularity and abundance on semigroups of partial transformations with invariant set
Open Mathematics, 2023 Let P(X)P\left(X) be a partial transformation semigroup on a non-empty set XX. For a fixed non-empty subset YY of XX, let PT¯(X,Y)={α∈P(X)∣(domα∩Y)α⊆Y}.\overline{PT}\left(X,Y)=\left\{\alpha \in P\left(X)| \left({\rm{dom}}\hspace{0.33em}\alpha \cap Y ...
Pantarak Thapakorn, Chaiya Yanisa
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On idempotent generated semigroups [PDF]
, 2002 We provide short and direct proofs for some classical theorems proved by Howie, Levi and McFadden concerning idempotent generated semigroups of transformations on a finite set.
Araújo, João
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Ordered Regular Semigroups with Biggest Associates
Discussiones Mathematicae - General Algebra and Applications, 2019 We investigate the class BA of ordered regular semigroups in which each element has a biggest associate x† = max {y | xyx = x}. This class properly contains the class PO of principally ordered regular semigroups (in which there exists x⋆ = max {y | xyx ...
Blyth T.S., Santos M.H. Almeida
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A NEW METHOD FOR CONSTRUCTING PARTIAL ONE TO ONE TRANSFORMATION SEMIGROUP USING TWO LINE NOTATION
Academy Journal of Science and Engineering, 2022 In this paper, we provide a method of constructing finite one to one transformation semigroup from the full one to one transformation semigroup using some pattern called transitive.
Muhammad Mansur Zubairu, Bashir Ali
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The join of split graphs whose completely regular endomorphisms form a monoid
Open Mathematics, 2017 In this paper, completely regular endomorphisms of the join of split graphs are investigated. We give conditions under which all completely regular endomorphisms of the join of two split graphs form a monoid.
Hou Hailong, Song Yanhua, Gu Rui
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