Journal of Jilin University Science Edition

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

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

  1. 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

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

CLC Number: 

  • O159