通过引用P-平坦模的定义，引入了右IPF环的概念，推广了右IF环的概念，这对研究IF环及QF环具有重要的作用，同时对右IPF环的性质作了一些刻画，得到了右IPF环的若干个等价命题；最后，用P-平坦模及右IPF环推出了正则环的一些等价条件．%Right IPF rings which is a generalization of right ,IF rings are introduced by P-flat modules, it plays an important role in IF rings and QF rings, meanwhile, some properties of right IPF rings are discussed and some equivalent properties of right IPF rings; finally, some equivalent conditions of regular rings are also given by using P-flat modules and right IPF rings.
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