On transformation semigroups which are ℬ𝒬-semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 A semigroup whose bi-ideals and quasi-ideals coincide is called a ℬ𝒬-semigroup. The full transformation semigroup on a set X and the semigroup of all linear transformations of a vector space V over a field F into itself are denoted, respectively, by T(X)
S. Nenthein, Y. Kemprasit
doaj +2 more sources
Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes [PDF]
Heliyon, 2023 Let T(X) be the full transformation semigroup on a nonempty set X. In this paper, the Cayley digraphs of T(X) with connection sets L and R, the Green's equivalence classes of T(X) according to the Green's relations L and R, are investigated. Furthermore,
Nuttawoot Nupo, Yanisa Chaiya
doaj +2 more sources
Structure of the (Total) Transformation Monoids Under Rank N Generators [version 2; peer review: 2 approved] [PDF]
F1000ResearchThroughout this paper our study focuses on transformation semigroups. These kinds of semigroups are the corner stone of semigroup theory. This is because every semigroup is isomorphic to transformation semigroup.
Asawer Al-Aadhami, Hala M. Sulaiman
doaj +2 more sources
Left (Right) Regular Elements of Some Transformation Semigroups
Mathematics, 2023 For a nonempty set X, let T(X) be the total transformation semigroup on X. In this paper, we consider the subsemigroups of T(X) which are defined by T(X,Y) ={α∈T(X):Xα⊆Y}andS(X,Y)={α∈T(X):Yα⊆Y} where Y is a non-empty subset of X. We characterize the left
Kitsanachai Sripon +2 more
doaj +3 more sources
On Magnifying Elements in E-Preserving Partial Transformation Semigroups
Mathematics, 2018 Let S be a semigroup. An element a of S is called a right [left] magnifying element if there exists a proper subset M of S satisfying S = M a [ S = a M ] . Let E be an equivalence relation on a nonempty set X.
Thananya Kaewnoi +2 more
doaj +3 more sources
Semigroup-theoretic analysis of supply-chain disruptions and resilience. [PDF]
PLoS ONEThis paper develops a rigorous framework using finite transformation semigroups to model supply-chain state evolution under cascading disruptions and resilience interventions.
Job Agba Opue +3 more
doaj +2 more sources
On the Syntactic Monoids Associated with a Class of Synchronized Codes [PDF]
The Scientific World Journal, 2013 A complete code C over an alphabet A is called synchronized if there exist x,y∈C* such that xA*∩A*y⊆C*. In this paper we describe the syntactic monoid Syn(C+) of C+ for a complete synchronized code C over A such that C+, the semigroup generated by C, is ...
Shou-feng Wang
doaj +2 more sources
ISOMORPHISM PROBLEMS FOR TRANSFORMATION SEMIGROUPS
Semigroups and Formal Languages, 2007 Many people have studied the problem of describing all isomorphisms between transformation semigroups dened on sets and between linear transformation semigroups dened on vector spaces. In this paper, we summarise some of that work, as well as recent work showing that Baer-Levi semigroups dened on sets are never isomorphic to their linear analogue ...
Suzana Mendes-Gonçalves
exaly +3 more sources
TRANSFORMATION SEMIGROUPS AND TRANSFORMED DIMENSIONS [PDF]
Journal of Sciences, Islamic Republic of Iran, 2001 In the transformation semigroup (X, S) we introduce the height of a closed nonempty invariant subset of X, define the transformed dimension of nonempty subset S of X and obtain some results and relations.
doaj +1 more source
Elementary definability of the class of universal hypergraphic automata in the class of semigroups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 Hypergraphic automata are automata, state sets and output symbol sets of which are hypergraphs, being invariant under actions of transition and output functions. Universally attracting objects in the category of hypergraphic automata are called universal
Molchanov, Vladimir Aleksandrovich +1 more
doaj +1 more source