特征不等于2的域上三角矩阵空间的保幂等线性算子

Idempotent Preserving Linear Operators on TriangularMatrix Spaces Over Fields Whose Characteristic Is Not 2

本文对特征不为2的域上三角矩阵空间的保非零幂等线性算子进行了刻划.对于其可逆形式,得到与全矩模上相类似的结果.

The present paper determines the forms of nonzero idempotent preserving lincar operators on triangular matrix spaces over fields whose characteristic is not 2.