%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