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A Method for Constructing Square Roots in Finite Full Transformation Semigroups
Published online by Cambridge University Press: 20 November 2018
Abstract
Let Tn denote the full transformation semigroup on the set X = {1,2,. . .,n}, that is the set of all mappings from X to X, the semigroup operation being composition of mappings. The aim of this paper is to provide a method for the construction of all square roots of an arbitrary element α ∈ Tn, by employing a representation of the members of Tn as special directed graphs.
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- Copyright © Canadian Mathematical Society 1986
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