Identities on additive mappings in semiprime rings

Consider a ring $R$, which is semiprime and also having $k$-torsion freeness. If $F, d : R\to R$ are two additive maps fulfilling the algebraic identity $$F(x^{n+m})=F(x^m) x^n+ x^m d(x^n)$$ for each $x$ in $R.$ Then $F$ will be a generalized derivation having $d$ as an associated derivation on $R$....

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Bibliographic Details
Main Authors: A. Z. Ansari, N. Rehman
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2023-01-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/317
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