摘要
Let R be an associative ring with identity. An element xaR is said to be weakly clean if x=u+e or x=u-e for some unit u and idempotent e in R. The ring R is said to be weakly clean if all of its elements are weakly clean. In this paper we obtain an element-wise characterization of abelian weakly clean rings. A relation between unit regular rings and weakly clean rings is also obtained.
- 出版日期2011-7