Annihilator conditions with generalized skew derivations and Lie ideals of prime rings
نویسندگان
چکیده
Let $R$ be a prime ring, $Q_r$ its right Martindale quotient $L$ non-central Lie ideal of $R$, $n\geq 1$ fixed integer, $F$ and $G$ two generalized skew derivations with the same associated automorphism, $p\in R$ element. If $p\bigl(F(x)F(y)-G(y)x\bigr)^n=0$, for any $x,y \in L$, then there exist $a,c\in Q_r$ such that $F(x)=ax$ $G(x)=cx$, $x\in R$, $pa=pc=0$, unless when satisfies standard polynomial identity $s_4(x_1,\ldots,x_4)$.
منابع مشابه
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ژورنال
عنوان ژورنال: International Electronic Journal of Algebra
سال: 2022
ISSN: ['1306-6048']
DOI: https://doi.org/10.24330/ieja.1143810