The Ideal Retraction Property for Idempotent Semigroups |
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| Authors: | ME Adams Matthew Gould |
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| Institution: | (1) Department of Mathematics, State University of New York, New Paltz, NY 12561, USA;(2) Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA |
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| Abstract: | A semigroup S is said to have the ideal retraction property provided each of its ideals is the image of an idempotent endomorphism
of S. The main result of this work is a characterization of those bands which have the idempotent retraction property. All
such bands are normal. |
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