【摘要】 将Hochwald的保谱条件进行了弱化,在没有保谱性条件时,得到了域上n×n矩阵代数的保持矩阵特征值之和与积的可乘线性映射,将原有的Hochwald的保谱可乘线性映射进行了推广,获得了一个新的一般性结论。更多还原

【Abstract】 The condition of preserving the spectrum of Hochwald’s was weakened.Without the condition of preserving the spectrum,the form of linear maps and multiplicative maps on n×n all matrix algebra that preserve the sum and the product of matrix characteristic value were obtained.A new general conclusion is received by improving the existing Hochwald’s conclusion.更多还原