P-反演半群上的强P-同余

摘要

In this paper we introduce theconcert of the P-inversive semigroup S(P) and describe the strongP-congruences on S(P)in terms of their kernels and traces. Furthermore, we prove that any strong P-congrutuence oh S(P) can present a strong P-congruence pair. Conversely any strong P-congruence pair on S(P) can determine a strong P-congruence.%本文介绍了P-反演半群S(P)的概念,借助于核与迹刻画了P-反演半群上的强P-同余.并且证明了S(P)上的任一强P-同余可以决定S(P)的一个强P-同余对,反之S(P)的任一强P-同余对,可以决定S(P)上的一个强p同余.