%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 2020
%\ 05/15/2020
%V
%N
%P -
%! Abundant Semigroups With Medial Idempotents
%K Abundant semigroups
%K Ample semigroups
%K Medial idempotents
%K Naturally ordered semigroups
%R
%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 http://cgasa.sbu.ac.ir/article_87496_884ab1324cbdb2b794ebe05d9bb4c3b3.pdf