تقرير
A characterization of $b$-generalized skew derivations on lie ideal of a prime ring
العنوان: | A characterization of $b$-generalized skew derivations on lie ideal of a prime ring |
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المؤلفون: | Pandey, Ashutosh, Pandey, Mani Shankar |
سنة النشر: | 2023 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Group Theory, 16N60, 16W25 |
الوصف: | Let $R$ be a prime ring of characteristic different from $2$, $U$ be its Utumi quotient ring, $C$ be its extended centroid and $L$ be a non-central Lie ideal of $R$. Suppose $F$ and $G$ are two non-zero $b$-generalized skew derivations of $R$ associated with the same automorphism $\alpha$ such that $$puF(u) + F(u)uq = G(u^2),\ \text{with} \ p + q \notin C,~~ \text{for all $u \in L$. }$$ This paper aims to study the complete structure of the $\mathrm{b}$-generalized skew derivations $F$ and $G$. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2306.13744 |
رقم الأكسشن: | edsarx.2306.13744 |
قاعدة البيانات: | arXiv |
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