A product of two generalized derivations on polynomials in prime rings
- Autores: Vincenzo De Filippis
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 61, Fasc. 3, 2010, págs. 302-322
- Idioma: español
- DOI: 10.1007/BF03191235
- Enlaces
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Resumen
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
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