| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4596328 | Journal of Pure and Applied Algebra | 2014 | 5 Pages |
Abstract
Many authors have investigated the behavior of strong cleanness under certain ring extensions. In this note, we investigate the classical problem of lifting idempotents, in order to consolidate and extend these results. Our main result is that if R is a ring which is complete with respect to an ideal I and if x is an element of R whose image in R/I is strongly π-regular, then x is strongly clean in R. This generalizes Theorem 2.1 of Chen and Zhou (2007) [9].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
