| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4588671 | Journal of Algebra | 2007 | 6 Pages |
Abstract
An element a of a ring R is left morphic if R/Ra≅annl(a). If every element of a ring R is left morphic, we call R a left morphic ring. Nicholson and Sánchez Campos prove that, for any left morphic ring R and any idempotent e∈R, the corner ring eRe is left morphic. In this note, we correct Nicholson and Sánchez Campos' elementwise version of this statement, giving examples to illustrate the novel behaviors that arise.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
