摘要
研究了具有对合的环上长方形矩阵的W加权群-Moore-Penrose可逆性。给出了环上长方形矩阵的W加权Moore-Penrose逆和W加权群逆的存在性的特性。环上长方形矩阵的W加权群-Moore-Penrose逆可以被刻画和计算出来。这推广了具有对合的环上平方矩阵的群-Moore-Penrose逆的结果。结果也适用于(加法)范畴中的态射.
The W-weighted group-Moore-Penrose invertibility of rectangular matrices over a ring with an involution * are studied. Characterizations are given for existence of the W-weighted Moore-Penrose inverse and the W-weighted group inverse of a rectangular matrix over a ring. The W-weighted group-Moore-Penrose inverse of a rectangular matrix over a ring can be characterized and computed. This generalizes results obtained for the group-Moore-Penrose inverse of a square matrix over a ring with an involution *. The results also apply to morphisms in(additive) categories.
作者
陈申宝
Chen Shenbao(Zhejiang Business Technology Institute,Ningbo 315012,China)
出处
《纯粹数学与应用数学》
2020年第2期239-252,共14页
Pure and Applied Mathematics
基金
浙江省自然科学基金(L Y15F020010)
浙江省教育厅科研项目(Y201636499).
