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When Is an Abelian Weakly Clean Ring Clean
| Content Provider | Semantic Scholar |
|---|---|
| Author | Danchev, Peter |
| Copyright Year | 2015 |
| Abstract | We answer the title question in the armative by showing that any abelian weakly clean ring for which 2 belongs to its Jacobson radical (in particular, if 2 is nilpotent) has to be clean. Some constructive examples, one of which illustrates that this is no longer true removing the condition on the 2, are given as well. DOI : http://dx.doi.org/10.22342/jims.21.2.229.83-91 |
| Starting Page | 83 |
| Ending Page | 91 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.22342/jims.21.2.229.83-91 |
| Volume Number | 21 |
| Alternate Webpage(s) | https://www.jims-a.org/index.php/jimsa/article/download/229/pdf |
| Alternate Webpage(s) | https://doi.org/10.22342/jims.21.2.229.83-91 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |