The Natural Partial Orders on Abundant Semigroups
Luo Yan-feng · Advances in Mathematics · 2005
The aim of this paper is to investigate the natural partial orders on abundant semigroups. After giving the connections between Green relations with the natural partial orders, we determine when in an abundant semigroup, the natural partial order is compatible on the simple [double] sides with multiplication. In addition, we also consider primitive elements of abundant semigroups.