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Examples of clean commutative group rings
| Content Provider | Semantic Scholar |
|---|---|
| Author | Immormino, Nicholas A. McGovern, Warren Wm. |
| Copyright Year | 2014 |
| Abstract | Abstract A ring R is said to be clean if each element of R can be written as the sum of a unit and an idempotent. In this article we give examples of clean commutative group rings. In particular, we characterize when the group ring Z ( p ) [ C n ] is clean. The notion of a group ring being clean locally is defined, and it is investigated when the commutative group ring Z ( p ) [ C n ] is clean locally. It is proved that when R is a commutative Hensel ring, the commutative group ring R [ G ] is clean if and only if G is torsion. |
| Starting Page | 168 |
| Ending Page | 178 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jalgebra.2014.01.030 |
| Alternate Webpage(s) | http://home.fau.edu/wmcgove1/web/papers/IM2014.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jalgebra.2014.01.030 |
| Volume Number | 405 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
