摘要
The weighted Drazin invertibility of rectangular matrixs over an arbitrary ring are studied.Some equivalent conditions and Characterizations are given for existence of the weighted Drazin inverse of a rectangular matrix over an arbitrary ring.Moreover,the weighted Drazin inverse of a rectangular matrices product PAQ can be characterized and computed.This generalizes results obtained for the Drazin inverse of such product of square matrices.The results also apply to morphisms in(additive)categories.
研究了任意环上长方矩阵加权Drazin可逆性.给出了任意环上长方矩阵加权Drazin逆存在性的一些等价条件和刻画表达式.此外,长方矩阵积PAQ的加权Drazin逆也可以被刻画和计算出来.得到的定理推广了已有方阵积的Drazin逆的结果.结果也可应用于加法范畴中的态射.
出处
《纯粹数学与应用数学》
2025年第4期670-682,共13页
Pure and Applied Mathematics
基金
浙江省自然科学基金项目(LY15F020010)
浙江省教育厅科研项目(Y201636499)。
