摘要
设F是一个域,令M_n(F)记F上n×n全矩阵空间,首先在chF≠2时,刻划了从M_n(F)到M_m(F)的保矩阵逆的线性映射,然后在chF=2时,从M_n(F)到M_n(F)的保矩阵逆的可逆线性映射又被刻划。
Suppose F is a field. Let M_n(F) be the linear space of all n×n matrices over F. Firstly, all linear maps from M_n(F) to M_m(F) preserving inverses of matrices are characterized when chF≠2. Secondly, the nonsingular linear maps from M_n(F) to M_n(F) preserving inverses of matrices are also characterized when ch F=2.
出处
《黑龙江大学自然科学学报》
CAS
2004年第3期28-29,共2页
Journal of Natural Science of Heilongjiang University
基金
黑龙江省自然科学基金(A01-07)
黑龙江省教育厅项目(10531130)
关键词
域
线性映射
保矩阵逆
field
linear map
preserve inverses of matrices
