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

作　　者：于秀清[1] 董化玲[1] 徐凤生[1] 

机构地区：[1]德州学院数学系,山东德州253023

出　　处：《吉林大学学报（理学版）》2013年第4期599-602,共4页Journal of Jilin University:Science Edition

基　　金：山东省自然科学基金(批准号:ZR2010AL019);山东省高校科技计划项目基金(批准号:J12LN92)

摘　　要：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.

关 键 词：内P-集合 内P-集合副集 内P-集合副集的σ-生成 性质定理 

分 类 号：O159[理学—数学]