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On the work performed by a transformation semigroup. [PDF]

Australas. J Comb., 2011
A (partial) transformation α on the finite set {1,...,n} moves an element i of its domain a distance of |i − iα| units. The work w(α) performed by α is the sum of all of these distances. We derive formulae for the total work w(S) = α∈S w(α) performed by various semigroups S of (partial) transformations.
East, James, McNamara, Peter J.
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The ideal transforms of semigroups.

2003
Let \(S\) be a submonoid of a torsion-free (additive) Abelian group with quotient group \(q(S)=\{s- t\mid s,t\in S\}\), and let \(I\) be an ideal of \(S\). In analogy with commutative rings, the author defines the Nagata ideal transform of \(S\) with respect to \(I\) to be \(T_S(I)=\{z\in q(S)\mid nI\subset(S:_Sz+S)\) for some \(n\geq 1\}\) and the ...
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On Coverings of Rough Transformation Semigroups

2011
The purpose of this paper is towards the algebraic study of rough finite state machines, i.e., to introduce the concept of homomorphisms between two rough finite state machines, to associate a rough transformation semigroup with a rough finite state machine and to introduce the concept of coverings of rough finite state machines as well as rough ...
S. P. Tiwari, Shambhu Sharan
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Intuitionistic fuzzy transformation semigroups

Information Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the skeleton of a finite transformation semigroup.

2010
Summary: There are many ways to construct hierarchical decompositions of transformation semigroups. The holonomy algorithm is especially suitable for computational implementations and it is used in our software package. The structure of the holonomy decomposition is determined by the action of the semigroup on certain subsets of the state set.
Egri-Nagy, Attila, Nehaniv, Chrystopher L.   +1 more
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Skew Pairs of Idempotents in Partial Transformation Semigroups

Mathematics, 2022
Panuwat Luangchaisri, Thawhat Changphas   +1 more
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Primitive permutation groups and strongly factorizable transformation semigroups

Journal of Algebra, 2021
João Araujo, Wolfram Bentz, Peter J Cameron   +2 more
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Transformation Representations of Sandwich Semigroups

Experimental Mathematics, 2020
James East
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Left and right magnifying elements in some generalized partial transformation semigroups

Communications in Algebra, 2021
Ronnason Chinram, Samruam Baupradist, Naveed Yaqoob   +2 more
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Locally maximal idempotent-generated subsemigroups of singular orientation-preserving transformation semigroups

Semigroup Forum, 2008
Mei Y
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