Annihilators of power values of a right generalizd $(\alpha, \beta)$-derivation
by Jui-Chi Chang  

Vol. 4 No. 1 (2009) P.67~P.73

ABSTRACT

Let R be a prime ring with a right generalized $(\alpha, \beta)$-derivation $f$ and let $a \in R$. Suppose that $af(x)^n = 0$ for all $x \in R$, where $n$ is a fixed positive integer. Then $af(x) = 0$ for all $x \in R$. In particular, if $f$ is either a regular right generalized $(\alpha, \beta)$-derivation or a nonzero generalized $(\alpha, \beta)$-derivation, then $a = 0$.

KEYWORDS
Skew derivation, generalized skew derivation, automorphism, prime ring, generalized polynomial identity (GPI)

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 16W20, 16W25, 16W55

MILESTONES

Received: 2007-10-08
Revised : 2008-08-26
Accepted: 2008-08-26

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