Annihilators of skew derivations with Engel conditions on prime rings.
| Autor: | Pehlivan, Taylan |
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| Další autoři: | |
| Jazyk: | angličtina |
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| Druh dokumentu: | Non-fiction |
| ISSN: | 0011-4642 |
| Abstrakt: | Abstract: Let $R$ be a noncommutative prime ring of characteristic different from 2, with its two-sided Martindale quotient ring $Q$, $C$ the extended centroid of $R$ and $a\in R$. Suppose that $\delta$ is a nonzero $\sigma$-derivation of $R$ such that $a[\delta(x^n),x^n]_k=0$ for all $x\in R$, where $\sigma$ is an automorphism of $R$, $n$ and $k$ are fixed positive integers. Then $a=0$. |
| Databáze: | Katalog Knihovny AV ČR |
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