保持{1,2,T}-逆的加法映射

• 作 者: 荣建英 岳勤 刘绪庆
• 出 处: 数学季刊（英文版）
• 发表日期: 2004年期
• 关键词: additive map preserving {1 2 T}-inverse

Let F be a field of characteristic not 2 and 3. Let f : M_(mn)(F)→ M_(mn)(F) be an additive map preserving {1, 2, T}-inverse, i.e. f(A)= f(A)f(B)~Tf(A),f(B) =f(B)f(A)~Tf(B) for any A,B ∈ M_(mn)(F) with A=AB~TA, B = BA~TB. In this paper, we give the sufficient and necessary condition for f to be such a map.