After giving some basic conceptions and preparations . we discuss the problem about the characteristic set in p - rugular semigroup . in [ 3 ] . perich have given out an open problenrsutdying ^ - disjunctive inverse semigroup 本文在给出一些基本的概念和必要的预备知识之后，就有关p -正则半群特征集的问题展开讨论。
