By Using the module theory, this paper tries to study the effect of semigroup , namely, to study the external environment reflected by S - acts category. It also further characterizes the condition ( PA ) of cyclic S - acts , proves that under the condition ( PA) , the finitely generated S - acts does not intersect the cyclic S -acts and gives the necessary and sufficient conditions for cyclic S - acts to satisfy the condition ( PA) as well as the necessary and sufficient conditions for left S - acts S/p (x, x2) to satisfy the condition ( PA). The research results further develop and enrich the appropriate conclusions of S - acts.%运用环的模论方法,对半群的由作用效果即S-系范畴所反映的外部环境进行了研究,对S-系的条件(PA)作出进一步刻划,证明了满足条件(PA)的有限生成S-系是循环S-系的不交并,给出了循环S-系满足条件(PA)的充要条件以及左S-系S/p(x,x2)满足条件(PA)的充要条件,研究结果进一步丰富了S-系的相关结论.
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