本文结合半-clean-环与f-clean环的概念,提出了f-半-clean环的概念,主要研究了f-半-clean环的扩张性及其它性质,从而将半-clean环,f-clean环的一些性质推广到f-半clean环上.
In this paper,combining with the semiclean rings and f-clean rings,the notion of f-semiclean rings are defined.The properties of extension f-semiclean ring and the other properties are introduced.Some properties of semiclean rings and f-clean rings extend to f-semiclean rings.