【摘要】 设T是一个三角代数,φ:T T是一个可加映射。证明了如果存在正整数mnr,使得(m+n)φ(ar+1)-(mφ(a)ar+narφ(a))Z(T)对任意的a T成立,那么存在λZ(T),使得对任意的a T,有φ(a)=λa。更多还原

【Abstract】 This paper supposes T is a triangular algebra, and φ:T T is an additive mapping. It proves that if there is some positive integer number mnr satisfying(m + n)φ(ar + 1)- mφ(a)ar- narφ(a)Z(T) for all a T, then there exists someλ Z(T), such that φ(a)= λa for all a T.更多还原