Resumen de A product of two generalized derivations on polynomials in prime rings

Vincenzo De Filippis

• Let $R$ be a prime ring of characteristic different from 2, let $F$ and $G$ be non-zero generalized derivations of $R$ and let $f(x_1, \ldots, x_n)$ a polynomial. Let $f(R)$ be the set $\{f(r_1, \ldots, r_n) \mid r_1, \ldots, r_n\in R \}$. The purpose of this paper is to study the situation when the composition $(FG)$ acts on the elements of $f(R)$ as a generalized derivation