Derivations with Engel conditions in prime and semiprime rings

Title:

Derivations with Engel conditions in prime and semiprime rings

Creator:

Huang, Shuliang

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2584b0cc-9f2e-4b3d-b402-4c4941f4ed73
uuid:2584b0cc-9f2e-4b3d-b402-4c4941f4ed73

Subject:

prime and semiprime rings, ideal, derivation, and GPIs

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $R$ be a prime ring, $I$ a nonzero ideal of $R$, $d$ a derivation of $R$ and $m, n$ fixed positive integers. (i) If $(d[x,y])^{m}=[x,y]_{n}$ for all $x,y\in I$, then $R$ is commutative. (ii) If $\mathop {\rm Char}R\neq 2$ and $[d(x),d(y)]_{m}=[x,y]^{n}$ for all $x,y\in I$, then $R$ is commutative. Moreover, we also examine the case when $R$ is a semiprime ring.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1135-1140

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:4

Harvested from:

CDK

Metadata only:

false