A NOTE ON CERTAIN CENTRAL DIFFERENTIAL IDENTITIES WITH GENERALIZED DERIVATIONS
Makaleler > Tam Makale · 2012
Yazarlar: Nurcan ARGAÇ, Vincenzo De Filippis
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2012, cilt 41, ss 847-852
Özet
Let R be a noncommutatiye 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(x(1), . . ., x(n)) be a non-central multilinear polynomial over C, m >= 1 a fixed integer, a a fixed element of R, G a non-zero generalized derivation of R. If aG(f(r(1), . . ., r(n)))(m) is an element of Z(R) for all r(1), . . ., r(n) is an element of I, then one of the following holds: