Results 191 to 200 of about 866 (222)

On the Rank of Generalized Transformation Semigroups

Bulletin of the Malaysian Mathematical Sciences Society, 2022
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Gonca Ayık, Haytham Darweesh Mustafa Abusarris   +1 more
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Locally Factorisable Transformation Semigroups

Southeast Asian Bulletin of Mathematics, 2001
A semigroup \(S\) is called factorizable if \(S=GE=EG\) where \(G\) is a subgroup of \(S\) and \(E\) is its set of idempotents; \(S\) is locally factorizable if \(eSe\) is factorizable for every idempotent \(e\). Suppose \(S\) is a subsemigroup of the partial transformation semigroup \(P(X)\) with identity \(\varepsilon\).
Jampachon, Prakit, Saichalee, Maliwan, Sullivan, R. P.   +2 more
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On some semigroups of the partial transformation semigroup

AIP Conference Proceedings, 2012
Finite semigroups arise as syntactic semigroups of regular languages and as transition semigroups of finite automata. Among the most important and intensively studied classes of finite semigroups are the partial transformation semigroup and the semigroup of all order-preserving partial transformations.
Ivan D. Trendafilov, Dimitrinka I. Vladeva   +1 more
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Factorisable Semigroups of Linear Transformations

Algebra Colloquium, 2006
Let P(X) be the semigroup of all partial transformations of a set X. A subsemigroup S of P(X) is factorisable if S = GE = EH, where G, H are subgroups of S and E is the set of idempotents in S. In 2001, Jampachon, Saichalee and Sullivan proved a simple result that generalized most of the previous work on factorisable subsemigroups of P(X).
Ittharat, Jirasook, Sullivan, R. P.
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Set products in transformation semigroups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2003
We describe products of arbitrary L-, R- and H-classes with the set of idempotents of full transformation semigroups.
Higgins, Peter M., Howie, John M., Ruškuc, Nik   +2 more
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On Groups Associated with Transformation Semigroups

SemiGroup Forum, 1999
Denote by \({\mathcal P}_n\) the semigroup of all partial transformations on a finite set \(X_n\). Denote by \(S_n\) the symmetric group of permutations of \(X_n\) and let \(S\) be any subsemigroup of \({\mathcal P}_n\). An automorphism \(\varphi\) of \(S\) is defined to be inner if there exists an \(h\in S_n\) such that \(\varphi(\alpha)=h\alpha h^{-1}
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Decompositions of -generalized transformation semigroups

Fuzzy Sets and Systems, 2001
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Sung Jin Cho 0001, Jae-Gyeom Kim, Woon-Seek Lee   +2 more
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Transformation Semigroups for Rough Sets

2018
In this article we define transformation semigroups for rough sets. Basic constructions such as closures, products, coverings and partitions for transformation semigroups are defined. A decomposition theorem for reset transformation semigroups is given. A connection with automata is also presented by defining a semiautomaton for rough sets.
Anuj Kumar More, Mohua Banerjee
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Comparison semigroups and algebras of transformations

Semigroup Forum, 2010
A set equipped with a certain quaternary comparison operation \((-,-)[-,-]\) is called a `comparison algebra'. A semigroup \((A,\cdot)\) equipped with a comparison operation \((-,-)[-,-]\) which satisfies the equalities \((a,b)[c,d]\cdot e=(a,b)[ce,de]\) and \(e\cdot(a,b)[c,d]=(ea,eb)[ec,ed]\) for all \(a,b,c,d,e\in A\), is called a `comparison ...
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REPRESENTATIONS OF SEMIGROUPS BY TRANSFORMATIONS AND THE CONGRUENCE LATTICE OF AN EVENTUALLY REGULAR SEMIGROUP

International Journal of Algebra and Computation, 1996
On any eventually regular semigroup S, congruences ν, μL, μR, μ, K, KL, KR, ζ are introduced which are the greatest congruences over: nil-extensions (n.e.) of completely simple semigroups, n.e. of left groups, n.e. of right groups, n.e. of groups, n.e. of rectangular bands, n.e. of left zero semigroups, n.e.
Karl Auinger, Thomas Eric Hall
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