P-kernel Normal System of Strong P-congruences on P-inversive Semigroups
Fan Xing-kui · 东北数学：英文版 · 2005
Let S(P) be a P-inversive semigroup. In this paper we describe the strong P-congruences on S(P) in terms of their P-kernel normal systems. We prove that any strong P-congruence on S(P) can present a P-kernel normal system; conversely any P-kernel normal system of S(P) can determine a strong P-congruence.