JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (3): 1-6.doi: 10.6040/j.issn.1671-9352.0.2022.227

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τq-PF Rings

ZHANG Xiao-lei1, QI Wei1, XIA Wei-heng2   

  1. 1. School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, Shandong, China;
    2. School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, Sichuan
  • Published:2023-03-02

Abstract: The notion of τq-P-flat modules is introduced and studied. Specially, a ring R is τq-PF if and only if any(principal)ideal of R is τq-P-flat. Finally, τq-PF rings are also studied in terms of finite direct products of rings and amalgamation algebras. By the way, some examples are given to distinguish τq-PF rings and PF rings.

Key words: τq-PF ring, τq-P-flat module, PF ring, amalgamation algebra

CLC Number: 

  • O154.2
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