关于*r-clean环

On *r-clean rings

称对合环为*r-clean环是指环中任一元素都可表示为投射子和*-正则元的和.研究了该环的一些扩张性质,并给出了*-阿贝尔的*r-clean环中元素的刻画.

An involution ring is called a*r-clean ring if every element is the sum of a projection and a*-regular element.Some extensions of*r-clean rings are discussed,and a characterization of the element in a*-abelian*r-clean ring is given.