关于具有零对象的范畴中态射的核与余核

ON THE KERNEL AND COKERNEL OF MORPHISMS IN CATEGORIES WITH ZERO OBJECT

文献[1]中给出了:具有零对象的范畴φ中单态射 f:E→G 的核i:H→E 为零态射 O_(H,E)。本文在给出φ的泛对象与余泛对象均为零对象的基础上进一步给出:H=0.并将给出φ的满态射的余核,及具体给出φ的某些态射的核或余检等。

Reference [1] gived that kernel i:H→E of monic morphism f:E→G in the categories with zero object is zero-morphism O_(H,E). The paper further gives the H=0,which is based on that both initial and terminal object of are the zero by the paper.The paper also gives the cokernels of epic morphisms of ,and cocretely gives the kernels or cokernels of some morphisms of .