GENERALIZED SKEW DERIVATIONS ON MULTILINEAR POLYNOMIALS IN RIGHT IDEALS OF PRIME RINGS
Articles > Article · 2014
Authors: Emine ALBAŞ, Nurcan ARGAÇ, Vincenzo DE FILIPPIS, Çağrı DEMİR
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, Journal Indexed in SCI Expanded, International, 2014, vol 43, pp 69-83
Summary
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: