关于FP-内射覆盖的几点注记

Notes on FP-injective Covers

给出了在推出图中FP-内射包络和FP-投射覆盖的关系,证明了若每个R-模有单的FP-内射(预)覆盖,则FP-内射模类关于正向极限封闭,同时给出了在分式环上FP-内射模和FP-投射模的一些性质.

The relation between FP - injeetive envelopes and FP - projective covers is given in this paper. It is proved that if every R - module has a monic FP - injeetive （pre）eovers,then the class of FP - injective modules is closed within direct limits. The paper finally discusses some properties of FP - injective modules and FP -projeetive modules over the ring of fractions.