# 保持半环上矩阵{1,2}-逆的可逆线性算子The Invertible Linear Operator Preserving {1,2}-Inverses of Matrices over Semirings

Abstract: 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.

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