Some Remarks on Paramedial Semigroups and Medial Semigroups
Nares Sawatraksa, Chaiwat Namnak · Thai Journal of Mathematics · 2020
Let S be a semigroup. We say that S is a medial if abcd = acbd for all a,b,c,d ∈ S and S is a paramedial if abcd = dbca for all a,b,c,d ∈ S . In this paper, we investigate some properties of the regularity and Green's relations. Moreover, we describe compatibility with the natural partial order on paramedial semigroups and medial semigroups.