A note on weakly clean rings

作者:Chin A Y M*; Qua K T
来源:Acta Mathematica Hungarica, 2011, 132(1-2): 113-116.
DOI:10.1007/s10474-011-0100-8

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