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Digraphs and the semigroup of all functions on a finite set

Published online by Cambridge University Press:  18 May 2009

Peter M. Higgins
Peter M. Higgins
Affiliation:
Deakin University, Victoria 3217, Australia
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Let Tn denote the full transformation semigroup on the finite set = {1, 2, … n}, that is the set of all mappings from to , with function composition as the semigroup operation. In this paper algorithms are introduced to solve equations such as axmb = c and ax = xb (a, b, c ∊ Tn), which employ a representation of members of Tn as special directed graphs.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 30 , Issue 1 , January 1988 , pp. 41 - 57
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

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