数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2009年
4期
590-597
,共8页
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.