Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (2): 269-276.
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XIA Weiheng, QIAO Lei, SONG Feifei
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Abstract: We studied the w-module theoretic analogue of P-flat modules by using w-module theory over commutative rings. Firstly, we introduced the concept of w-P-flat modules over commutative rings and discussed several characterizations and properties of w-P-flat modules. Secondly, as applications of w-P-lat modules, we give some new characterizations of von Neumann regular rings and p.p rings (i.e., rings in which every principle ideal is a projective ideal).
Key words: w-P-flat module, p.p ring, w-p.f ring
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XIA Weiheng, QIAO Lei, SONG Feifei. w-P-Flat Modules over Commutative Rings and Their Applications[J].Journal of Jilin University Science Edition, 2022, 60(2): 269-276.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2022/V60/I2/269
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