PFP-模与H-有限生成模(英文)

PFP-modules and H-finitely generated modules

首先引入PFP-模的定义,并给出了Von Neumann正则环的一些新的刻划.然后利用H-有限生成模的性质刻划了Von Neumann正则环、半单环并推广了IF-环的一些已知结果.

In first part of the paper, the authors introduce the definition of PFP-modules, in terms of whieh they get a new characterization of Von Neumann regular rings. Secondly, they apply the nature of H-finitely generated to characterize Von Neumann regular rings, semi-simple rings and generalize some known results of IF-rings.