再者，引进了分次半平坦模的概念，并有如下主要结果：环K是分次弱正则的当且仅当所有右K-模是分次半平坦的。
Next, the concept of graded semiflat module is introduced and proved that K is a group-graded weakly regular ring if and only if all right K-module is graded semiflat module.
研究了每一个极大的右理想是拟理想的右SF -环的正则性，得到了右SF -环是正则环的一些新的刻画，推广了一些已知的结论。
We study the regularity of right SF-rings whose every maximal right ideal is a quasi-ideal. Some new characterizations on the regularity of right SF-rings are obtained, which generalize some results.
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