Ukr. Mat. Zh. - 2015. - 67, № 2. - pp. 279-285
We study some properties of centralizing and strong commutativity preserving maps of semiprime rings.
Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 870–873
Let R be a prime ring, let L a noncentral Lie ideal, and let f be a nonzero semiderivation associated with an automorphism σ such that f(u) n = 0 for all u ∈ L; where n is a fixed positive integer. If either Char R > n + 1 or Char R = 0; then R satisfies s 4; the standard identity in four variables.