内P-集合副集的σ-生成和σ-强生成

σ-Generation and σ-Strong Generation of Assistant Set of Internal P-Set

在内P-集合的基础上给出内P-集合副集A(XF珚)、内P-集合副集σ-生成和内P-集合副集σ-强生成的概念与结构,并讨论了三者的关系,得到了内P-集合副集σ-生成和内P-集合副集σ-强生成的关系定理、辨识定理及生成定理,扩大了P-集合的应用范围.

Based on internal P-set（internal packet set）,the concepts of assistant set of internal P-set,assistant set＇s σ-generation,and assistant set＇s σ-strong generation were proposed,and the relationship among them was discussed.Furthermore the property theorems,identifying theorems,and generation theorems related to assistant sets of internal P-set are obtained.The theory presented in the paper makes the theory of P-sets applied to more fields.