DERIVATIONS HAVING THE SAME POWER VALUES

作者:Xu Xiao Wei*; Ma Jing; Niu Feng Wen
来源:Journal of Algebra and Its Applications, 2010, 9(5): 809-817.
DOI:10.1142/S0219498810004245

摘要

Let R be a prime ring with extended centroid C, a nonzero ideal I and two derivations d(1), d(2). Suppose that d(1)(x)(n) = d(2)(x)(n) for all x is an element of I. Then there exists lambda is an element of C such that d(2)(x) = lambda d(1)(x) for all x is an element of R.