VANISHING DERIVATIONS AND CO-CENTRALIZING GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS
Makaleler > Tam Makale · 2016
Yazarlar: Basudeb DHARA, Nurcan ARGAÇ, Emine ALBAŞ
COMMUNICATIONS IN ALGEBRA, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2016, cilt 44, ss 1905-1923
DOI: 10.1080/00927872.2015.1027393
Özet
Let R be a noncommutative prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, and f(x(1),...,x(n)) be a multilinear polynomial over C, which is not central valued on R. Suppose that F and G are two generalized derivations of R and d is a nonzero derivation of R such that d(F(f(r))f(r) - f(r)G(f(r))) = 0 for all r = (r(1),...,r(n)) is an element of R-n, then one of the following holds: