Chong-Guang Cao, Xian Zhang

Additive Surjections Preserving Rank One and Applications

Abstract:
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.

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

MSC 2000: 15A04, 15A03