ABSTRACT
We survey results on the theory of weakly-injective modules obtained during the last five years. In particular, we show that arbitrary direct sums of weakly-injective right modules are weakly-injective if and only if every cyclic right R-module has finite univorm dimension. We also discuss right weakly-semisimple rings (those rings for which every right module is weakly-injective), characterize semiprime Goldie rings as those rings for which every right ideal is weakly-injective, and completely characterize the weakly-injective abelian groups.
Dedicated to the memory of Professor Pere Menal.
