Extensions of McCoy Rings
| dc.creator | Ying, Zhiling | |
| dc.creator | Chen, Jianlong | |
| dc.creator | Lei, Zhen | |
| dc.date | 2007-08-14 | |
| dc.date.accessioned | 2026-07-07T08:23:31Z | |
| dc.date.available | 2026-07-07T08:23:31Z | |
| dc.description | A ring $R$ is said to be right McCoy if the equation $f(x)g(x)=0,$ where $f(x)$ and $g(x)$ are nonzero polynomials of $R[x],$ implies that there exists nonzero $s \in R$ such that $f(x)s = 0$. It is proven that no proper (triangular) matrix ring is one-sided McCoy. If there exists the classical right quotient ring $Q$ of a ring $R$, then $R$ is right McCoy if and only if $Q$ is right McCoy. It is shown that for many polynomial extensions, a ring $R$ is right McCoy if and only if the polynomial extension over $R$ is right McCoy. Other basic extensions of right McCoy rings are also studied.\leftskip0truemm \rightskip0truemm \{\it Keywords}: matrix ring, McCoy ring, polynomial ring, upper triangular matrix ring. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0708.1789 | |
| dc.identifier | http://arxiv.org/abs/0708.1789 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136027 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16U80;16S99 | |
| dc.title | Extensions of McCoy Rings | |
| dc.type | text |