半环上保持矩阵{1}-逆的线性算子

摘要

刻画了某类特殊可换无零因子反环上保持矩阵{1}-逆的可逆线性算子，并将此结果推广到此类无零因子反环的任意直积上。推广了某些文献的一些结果。%In this paper we characterize invertible linear operarors that preserve{1}-inverses of matrices over special entire antirings. Based on obtained results, we give forms of invertible linear operarors that preserve{1}-inverses of matrices over direct product of special entire antirings. Thus some results obtained in some essays are generalized.