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In a recent paper, the author generalised most of the results published during the last three decades concerning congruences on certain transformation semigroups and their use in constructing congruence free semigroups. One result by Howie in 1981 involves a transformation semigroup defined on an infinite set whose cardinal is regular, and as such it could not be included in the generalisation. In this paper, we detrmine all the congruences on that transformation semigroup.
Bulletin of the London Mathematical Society – Wiley
Published: Jul 1, 1994
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