Engel conditions of generalized derivations on Lie ideals and left sided ideals in prime rings and Banach Algebras
| العنوان: | Engel conditions of generalized derivations on Lie ideals and left sided ideals in prime rings and Banach Algebras |
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| المؤلفون: | Asma Ali, Deepankar Das, Basudeb Dhara |
| المصدر: | Afrika Matematika. 27:1391-1401 |
| بيانات النشر: | Springer Science and Business Media LLC, 2016. |
| سنة النشر: | 2016 |
| مصطلحات موضوعية: | Discrete mathematics, Ring (mathematics), Mathematics::Commutative Algebra, Mathematics::Number Theory, General Mathematics, 010102 general mathematics, 01 natural sciences, Left sided, Prime (order theory), 010101 applied mathematics, Combinatorics, Banach algebra, Prime ring, Ideal (ring theory), 0101 mathematics, Quotient, Mathematics |
| الوصف: | Let R be a prime ring with its Utumi ring of quotients U, F a nonzero generalized derivation of R and L a noncentral Lie ideal of R. Suppose that $$[F(u^{n_1}),u^{n_2},u^{n_3},\ldots ,u^{n_k}]=0$$ for all $$u \in L$$ , where $$n_1, n_2, \ldots ,n_k\ge 1$$ are fixed integers. Then one of the following holds: Also we study the situation, when $$x\in [I,I]$$ , where I is a nonzero left ideal of R. As an application we obtain some range inclusion results of continuous generalized derivations on Banach algebras. |
| تدمد: | 2190-7668 1012-9405 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::5e051b58df90e734a431d0d554042020 https://doi.org/10.1007/s13370-016-0418-z |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........5e051b58df90e734a431d0d554042020 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 21907668 10129405 |
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