On strongly $g(x)$-clean rings
| dc.creator | Fan, Lingling | |
| dc.creator | Yang, Xiande | |
| dc.date | 2008-03-24 | |
| dc.date.accessioned | 2026-07-07T09:28:05Z | |
| dc.date.available | 2026-07-07T09:28:05Z | |
| dc.description | Let $R$ be an associative ring with identity, $C(R)$ denote the center of $R$, and $g(x)$ be a polynomial in the polynomial ring $C(R)[x]$. $R$ is called strongly $g(x)$-clean if every element $r \in R$ can be written as $r=s+u$ with $g(s)=0$, $u$ a unit of $R$, and $su=us$. The relation between strongly $g(x)$-clean rings and strongly clean rings is determined, some general properties of strongly $g(x)$-clean rings are given, and strongly $g(x)$-clean rings generated by units are discussed. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0803.3353 | |
| dc.identifier | http://arxiv.org/abs/0803.3353 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157328 | |
| dc.subject | Rings and Algebras | |
| dc.title | On strongly $g(x)$-clean rings | |
| dc.type | text |