Resumen de On Maps Preserving Zero Jordan Products

Mikhail A. Chebotar, Wen-Fong Ke, Pjek-Hwee Lee, Ruibin Zhang

• Let R be a ring, A = M n (R) and ?: A ? A a surjective additive map preserving zero Jordan products, i.e. if x,y ? A are such that xy + yx = 0, then ?(x)?(y) + ?(y)?(x) = 0. In this paper, we show that if R contains and n = 4, then ? = ??, where ? = ?(1) is a central element of A and ?: A ? A is a Jordan homomorphism