Centralizing automorphisms and Jordan left derivations on $σ$-prime rings
| dc.creator | Oukhtite, L. | |
| dc.creator | Salhi, S. | |
| dc.date | 2009-02-04 | |
| dc.date.accessioned | 2026-07-07T12:38:10Z | |
| dc.date.available | 2026-07-07T12:38:10Z | |
| dc.description | Let $R$ be a 2-torsion free $σ$-prime ring. It is shown here that if $U\not\subset Z(R)$ is a $σ$-Lie ideal of $R$ and $a, b$ in $R$ such that $aUb=σ(a)Ub=0,$ then either $a=0$ or $b=0.$ This result is then applied to study the relationship between the structure of $R$ and certain automorphisms on $R$. To end this paper, we describe additive maps $d: R \longrightarrow R$ such that $d(u^2) = 2ud(u)$ where $u\in U,$ a nonzero $σ$-square closed Lie ideal of $R.$ | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0902.0815 | |
| dc.identifier | http://arxiv.org/abs/0902.0815 | |
| dc.identifier | Advances in algebra 1 (1) (2008) 19-26 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218663 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W10, 16W25, 16W20, 16U80 | |
| dc.title | Centralizing automorphisms and Jordan left derivations on $σ$-prime rings | |
| dc.type | text |