有满单分解态射的加权Moore-Penrose逆

Weighted Moore-Penrose Inverse of Morphism with Epic-Monic Factorization

研究了范畴C中有满单分解态射φ关于态射h,k的加权Moore-Penrose逆φ_(hk)^+的存在性问题,给出了φ_(hk)^+存在的几个充分必要条件,推广了态射的Moore-Penrose逆的相应结果.其次,讨论了态射乘积的加权Moore-Penrose逆,得到了乘积公式成立的一个充要条件.

The research work involves the existence of weighted Moore-Penrose inverse of Morphism with epic-monic Factorization, as well as several necessary and sufficient conditions concerned. The corresponding results are generalized and some extensive discussions are made on the weighted Moore-Penrose inverse of Morphism. In addition, one necessary and sufficient condition for the inverse product formula is proved.