$\mathcal{P}$ -kernel normal systems for $\mathcal{P}$ -inversive semigroups
Hengwu Zheng · Semigroup Forum · 2011
As a generalization of Preston’s kernel normal systems, $\mathcal{P}$ -kernel normal systems for $\mathcal{P}$ -inversive semigroups are introduced, and strongly regular $\mathcal{P}$ -congruences on $\mathcal{P}$ -inversive semigroups in terms of their $\mathcal{P}$ -kernel normal systems are characterized. These results generalize the corresponding results for $\mathcal{P}$ -regular semigroups and $\mathcal{P}$ -inversive semigroups.