A NOTE ON CERTAIN CENTRAL DIFFERENTIAL IDENTITIES WITH GENERALIZED DERIVATIONS
Makaleler > Tam Makale · 2012
Yazarlar: Nurcan Argaç, Vincenzo De Filippis
, Uluslararası, 2012
Özet
Let R be a noncommutative prime ring of characteristic different from 2 with right Utumi quotient ring U and extended centroid C, I a nonzero right ideal of R. Let f(x1,...,xn) be a non-central multilinear poly- nomial over C, m ≥ 1 a fixed integer, a a fixed element of R, G a non-zero generalized derivation of R. If aG(f(r1,...,rn)) m ∈ Z(R) for