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The semidirect product of an inverse semigroup and a group
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that a semidirect product of an inverse semigroup and a group, in that order, contains an inverse subsemigroup that is a retract and that, together with the retraction mapping, forms free inverse morphic image of the semidirect product. The congruence determined by the retraction mapping is shown to be determined by the semigroup of idempotents of the semidirect product.
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- Copyright © Australian Mathematical Society 1986