| ID | 33214 |
| FullText URL | |
| Author |
Cortes, Wagner
Haetinger, Claus
|
| Abstract | B. Zalar proved that any left (resp. right) Jordan centralizer on a 2-torsion-free semiprime ring is a left (resp. right) centralizer. We prove this question changing the semiprimality condition on R. The main result of this paper is the following. Let R be a 2-torsionfree ring which has a commutator right (resp. left) nonzero divisor and let G: R → R be left (resp. right) Jordan σ-centralizer mapping of , where σ is an automorphism of R. Then G is a left (resp. right) -centralizer mapping of R. |
| Published Date | 2009-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume51
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 111
|
| End Page | 119
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol51/iss1/7
|
| JaLCDOI |
