Generalized Left Derivations with Identities on Near-Rings
نویسندگان
چکیده
في هذا العمل قدمنا تعاريف لمفاهيم جديدة والتي تسمى : الاشتقاقات اليسارية وتعميم الحلقات المقتربة الاولية الثلاثية. اضافة الى ذلك قمنا بدراسة ابدالية الثلاثية عند وجود بعض المتطابقات الجبرية على تعميم اليسارية.
منابع مشابه
Left Annihilator of Identities Involving Generalized Derivations in Prime Rings
Let $R$ be a prime ring with its Utumi ring of quotients $U$, $C=Z(U)$ the extended centroid of $R$, $L$ a non-central Lie ideal of $R$ and $0neq a in R$. If $R$ admits a generalized derivation $F$ such that $a(F(u^2)pm F(u)^{2})=0$ for all $u in L$, then one of the following holds: begin{enumerate} item there exists $b in U$ such that $F(x)=bx$ for all $x in R$, with $ab=0$; item $F(x)=...
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متن کاملOn Prime-Gamma-Near-Rings with Generalized Derivations
Copyright q 2012 Kalyan Kumar Dey et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Let N be a 2-torsion free prime Γ-near-ring with center ZN. Let f, d and g, h be two generalized derivations on N. We prove the following res...
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ژورنال
عنوان ژورنال: Baghdad Science Journal
سال: 2023
ISSN: ['2078-8665', '2411-7986']
DOI: https://doi.org/10.21123/bsj.2023.7317