Chong-Guang Cao, Xian Zhang

Additive Surjections Preserving Rank One and Applications

We characterize additive rank-one preserving surjections on the full matrix algebra over any field. As applications, invertibility preservers, determinant preservers and characteristic polynomial preservers are characterized.

Field, full matrix algebra, rank one preserver, additive surjection

MSC 2000: 15A04, 15A03