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. |