Results 11 to 20 of about 866 (222)
Transformation semigroups associated to Γ-semigroups
Discussiones Mathematicae - General Algebra and Applications, 2013 The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups.
Marzieh Amooshahi, Dariush Heidari
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On the multiplicity order of spinnable star-like transformation semigroup Tw*n
Journal of Nigerian Society of Physical SciencesThe application of graph theory has gained significant traction within the realm of the algebraic theory of semigroups. This study delves into exploring the geometric properties of the star-like transformation semigroup \alpha\omega_n^*, a distinctive ...
Sulaiman Awwal Akinwunmi +3 more
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Partial Orders on Transformation Semigroups [PDF]
Monatshefte f�r Mathematik, 2003 Denote by \(P(X)\) the semigroup, under composition, of all partial transformations of the set \(X\). Denote by \(\text{dom\,}\alpha\) the domain of \(\alpha\in P(X)\) and denote its range by \(\text{ran\,}\alpha\). Define a partial order \(\leq\) on \(P(X)\) by \(\alpha\leq\beta\) if \(\alpha=\gamma\beta=\beta\mu\) and \(\alpha=\alpha\mu\) for some \(\
Smith, M. Paula Marques, Sullivan, R. P.
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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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Computing Transformation Semigroups
Journal of Symbolic Computation, 2002 The paper describes data structures and algorithms for performing computations in a finite semigroup \(S\) with identity, generated by a set of transformations. A basic idea behind the algorithms is the partition of \(S\) with the aid of an equivalence relation \(\mathcal R\), one of Green's relations.
Steve Linton +3 more
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On left restriction semigroups with zero
Kuwait Journal of Science, 2023 In this article, we give the notion of left restriction meet-semigroup, and establish some results regarding atomistic left restriction semigroups. Then we discuss decompositions of (non-zero) semigroups with zero by proving a decomposition theorem.
Baddi Ul Zaman
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Representation of right zero semigroups and their semilattices by a transformation semigroup
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022 Background. As is known, an arbitrary semigroup can be represented by a semigroup of transformations that are right shifts either in this semigroup itself or in the extended semigroup obtained from the original one by adding an outer unit. The problems
L.V. Zyablitseva +2 more
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Exploring Tetris as a Transformation Semigroup [PDF]
, 2021 Tetris is a popular puzzle video game, invented in 1984. We formulate two versions of the game as a transformation semigroup and use this formulation to view the game through the lens of Krohn-Rhodes theory. In a variation of the game upon which it restarts if the player loses, we find permutation group structures, including the symmetric group $S_5 ...
Peter C. Jentsch, Chrystopher L. Nehaniv
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Workdone by m-Topological Transformation Semigroup Regular Spaces (Mψn )
, 2023 This paper introduces a new class of topological Semigroup called the m-Topological Transformation Semigroups; this uses the notion of topological spaces to solve semigroup problem with primary focus on Transformation Semigroups.
Adeniji, A. O. +2 more
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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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