On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings
نویسندگان
چکیده
منابع مشابه
On derivations and commutativity in prime rings
Let R be a prime ring of characteristic different from 2, d a nonzero derivation of R, and I a nonzero right ideal of R such that [[d(x), x], [d(y), y]] = 0, for all x, y ∈ I. We prove that if [I, I]I ≠ 0, then d(I)I = 0. 1. Introduction. Let R be a prime ring and d a nonzero derivation of R. Define [x, y] 1 = [x, y] = xy − yx, then an Engel condition is a polynomial [x, y] k = [[x, y] k−1 ,y]
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ژورنال
عنوان ژورنال: Baghdad Science Journal
سال: 2016
ISSN: 2411-7986,2078-8665
DOI: 10.21123/bsj.13.1.198-203