2009 / March Volume 4 No.1
Annihilators of power values of a right generalizd $(\alpha, \beta)$-derivation
| Published Date |
2009 / March
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|---|---|
| Title | Annihilators of power values of a right generalizd $(\alpha, \beta)$-derivation |
| Author | |
| Keyword | |
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| Pagination | 67-73 |
| 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 $a = 0$.
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| AMS Subject Classification |
16W20, 16W25, 16W55
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| Received |
2008-08-26
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| Accepted |
2008-08-26
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