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Generalised retract semigroups
Published online by Cambridge University Press: 17 April 2009
Abstract
We give a description of the structure of the semigroups for which each principal ideal is a retract. The globally idempotent case is solved quickly using a—suitably modified—construction which has been developed by Tully for the study of semigroups in which each ideal is a retract. The general case can be treated by a naturally obtained semigroup of subsets of the semigroup constructed for the globally idempotent case.
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- Copyright © Australian Mathematical Society 1991
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