Condition(P_A) and the cyclic S-acts
Jun Xiang Xu · Journal of Henan Polytechnic University · 2011
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/ρ(x,x2) to satisfy the condition(PA).The research results further develop and enrich the appropriate conclusions of S-acts.