内P-集合副集的σ-生成和σ-强生成

吉林大学学报(理学版)

内P-集合副集的σ-生成和σ-强生成

于秀清, 董化玲, 徐凤生

德州学院数学系, 山东德州 253023

收稿日期:2012-11-21 出版日期:2013-07-26 发布日期:2013-08-06
通讯作者: 于秀清 E-mail:sddzyxq@163.com

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

YU Xiuqing, DONG Hualing, XU Fengsheng

Department of Mathematics, Dezhou University, Dezhou 253023, Shandong Province, China

Received:2012-11-21 Online:2013-07-26 Published:2013-08-06
Contact: YU Xiuqing E-mail:sddzyxq@163.com

摘要/Abstract

摘要：

在内P-集合的基础上给出内P-集合副集A(X)、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.

关键词: 内P-集合, 内P-集合副集, 内P-集合副集的&sigma, -生成, 性质定理

Abstract:

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.

Key words: internal P-set, assistant set of internal P-set, assistant set’s σ-generation, property theorems

中图分类号:

O159

于秀清, 董化玲, 徐凤生. 内P-集合副集的σ-生成和σ-强生成[J]. 吉林大学学报(理学版), 2013, 51(04): 599-602.

YU Xiuqing, DONG Hualing, XU Fengsheng. σ-Generation and σ-Strong Generation ofAssistant Set of Internal P-Set[J]. Journal of Jilin University Science Edition, 2013, 51(04): 599-602.