关于态射乘积的广义逆

On the generalized inverse of the morphism product

研究范畴中态射乘积1d2 的广义逆 ,当态射1,2 分别为满、单态射时 ,用d的M P逆给出了1d2 的广义逆存在的充要条件 ,同时得到了相应广义逆的表达式 ,推广了以往文献的有关结论 .

The generalized in verse of the morphism product  1d 2 is studied. Supposed  1 and  2 are monic and epic morphism respectively, the necessary and sufficien t conditions for the existence of the generalized inverse of  1d 2 are obtained by the Moore-Penrose inverse of d, and characterization of the ge neralized inverse is given. The results presneted in references are extended.