On an identity involving generalized derivations and Lie ideals of prime rings
Let $R$ be a prime ring, $U$ the Utumi quotient ring of $R,$ $C$ the extended centroid of $R$ and $L$ a noncentral Lie ideal of $R.$ If $R$admits a generalized derivation $F$ associated with a derivation $\delta$ of $R$ such that for some fixed integers $m,n\geq 1,$ $F([u,v])^{m}=[u,v]_{n}$ for all...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020225/fulltext.html |