A Question on Strongly Clean Rings |
| |
| Authors: | Weixing Chen |
| |
| Institution: | 1. Mathematics and Information Science School, Shandong Institute of Business and Technology , Yantai 264005, China wxchen5888@163.com |
| |
| Abstract: | A new characterization of a strongly clean ring is given. And it is proven that if R is a strongly clean ring, then eRe is a strongly clean ring for e 2 = e ∈ R, which answers a question of Nicholson (1999
Nicholson , W. K. ( 1999 ). Strongly clean rings and Fitting's lemma . Comm. Algebra 27 ( 8 ): 3583 – 3592 . CSA] Taylor &; Francis Online], Web of Science ®] , Google Scholar]) in the affirmative. |
| |
| Keywords: | Clean rings Exchange rings Strongly clean rings |
|
|
