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Interassociates of Monogenic Semigroups
Authors:Email author" target="_blank">Matthew?GouldEmail author  Email author" target="_blank">Karen Ann?LintonEmail author  Amy Wildsmith?Nelson
Institution:(1) Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA;(2) Department of Mathematics, California State Polytechnic University, Pomona, Pomona, CA 91768, USA;(3) 3305 Timber Trail Antioch, TN 37013, USA
Abstract:Given a monogenic semigroup, (S, ·) , we characterize all interassociates of (S, ·) . We determine necessary and sufficient conditions under which an interassociate of (S, ·) is isomorphic to (S, ·) . Finally, we find necessary and sufficient conditions under which two interassociates of (S, ·) are isomorphic.
Keywords:
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