S-系的内射上生成子

Injective Cogenerator of S-acts

本文借助于模论中的方法,在中心S-系范畴中,给出了上生成子的若干刻画.利用函子的自然同构,给出了平坦S-系的一些刻画,得到了内射上生成子,投射,内射,生成子之间的一些关系.

In the central S-act category,some equivalent conditions for a cogenerator are given.By using the natural isomorphisms of functors,we obtain some characterizations for a flat S-act.Some relations among injective cogenerator,projective,injective and generator are also obtained.