拟半-clean环的若干研究

摘要

The concept of quasi-semi-clean ring is defined. A Ring R is quasi-semi-clean if each of its ele- ments is the sum of a quasi-regular element and a periodical element. We investigated some general properties of quasi-semi-clean rings and generalized the known results on clean rings, semi-clean rings, and quasi-clean rings.%引入了拟半-clean环的定义,如果环R中每个元素都可以写成一个拟正则元和一个周期元的和的形式,称R为拟半-clean环。研究了拟半-clean环的相关性质,从而推广了clean环,半-clean,及拟clean环中的若干结果。