The Invertible Linear Operator Preserving {1,2}-Inverses of Matrices over Semirings
Linhong Zhang · 2015
Linear preserve problem has been a relatively active topic in the matrix theory research. In the paper, we mainly study invertible linear operators that preserve {1,2}-inverses of matrices over semirings. It is completely characterized that invertible linear operators which preserve {1,2}inverse of matrices over chain semiring, the nonnegative integers, and the nonnegative reals.