%0 Journal Article %T Abundant semigroups with medial idempotents %J Categories and General Algebraic Structures with Applications %I Shahid Beheshti University %Z 2345-5853 %A El-Qallali, Abdulsalam %D 2021 %\ 07/01/2021 %V 15 %N 1 %P 1-34 %! Abundant semigroups with medial idempotents %K Abundant semigroups %K Ample semigroups %K Medial idempotents %K Naturally ordered semigroups %R 10.52547/cgasa.15.1.1 %X The effect of the existence of a medial or related idempotent in any abundant semigroup is the subject of this paper. The aim is to naturally order any abundant semigroup $S$ which contains an ample multiplicative medial idempotent $u$ in a way that $\mathcal{L}^*$ and $\mathcal{R}^*$ are compatible  with the natural order and $u$ is a maximum idempotent. The structure of an abundant semigroup containing an ample normal medial idempotent studied in \cite{item6} will be revisited. %U https://cgasa.sbu.ac.ir/article_87496_a4ebaaabf0e12fcab41f427e46088cd3.pdf