GENERALIZED SKEW DERIVATIONS ON MULTILINEAR POLYNOMIALS IN RIGHT IDEALS OF PRIME RINGS
Makaleler > Tam Makale · 2014
Yazarlar: Emine ALBAŞ, Nurcan ARGAÇ, Vincenzo DE FILIPPIS, Çağrı DEMİR
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2014, cilt 43, ss 69-83
Özet
Let R be a prime ring, f(x(1),...,x(n)) a multilinear polynomial over C in n noncommuting indeterminates, I a nonzero right ideal of R, and F : R -> R be a nonzero generalized skew derivation of R. Suppose that F(f(r(1),...,r(n)))f(r(1),...,r(n)) is an element of C, for all r(1),...,r(n) is an element of I. If f(x(1),...,x(n)) is not central valued on R, then either char(R) = 2 and R satisfies s(4) or one of the following holds: