Ore Extensions of Extended Symmetric and Reversible Rings
| dc.creator | Louzari, Mohamed | |
| dc.creator | Yakoub, L'moufadal Ben | |
| dc.date | 2007-09-04 | |
| dc.date | 2009-02-22 | |
| dc.date.accessioned | 2026-07-07T12:49:30Z | |
| dc.date.available | 2026-07-07T12:49:30Z | |
| dc.description | Let $σ$ be an endomorphism and $δ$ an $σ$-derivation of a ring $R$. In this paper, we show that if $R$ is $(σ,δ)$-skew Armendariz and $aσ(b)=0$ implies $ab=0$ for $a,b\in R$. Then $R$ is symmetric (respectively, reversible) if and only if $R$ is $σ$-symmetric (respectively, $σ$-reversible) if and only if $R[x;σ,δ]$ is symmetric (respectively, reversible). Moreover, we study on the relationship between the Baerness, quasi-Baerness and p.q.-Baerness of a ring $R$ and these of the Ore extension $R[x;σ,δ]$. As a consequence we obtain a partial generalization of \cite{hong/2000}. | |
| dc.description | 11 | |
| dc.identifier | https://arxiv.org/abs/0709.0515 | |
| dc.identifier | http://arxiv.org/abs/0709.0515 | |
| dc.identifier | International Journal of Algebra, Vol. 3, 2009, no. 9, 423 - 433 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222425 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16U80, 16S36 | |
| dc.title | Ore Extensions of Extended Symmetric and Reversible Rings | |
| dc.type | text |