Resumen de Cotorsion modules and relative pure-injectivity

Lixin Mao, Nanquing Ding

• Let $R$ be a ring. A right $R$-module $C$ is called a cotorsion module if $\operatorname{Ext}_{R}^{1}(F, C)=0$ for any flat right $R$-module $F$. In this paper, we first characterize those rings satisfying the condition that every cotorsion right (left) module is injective with respect to a certain class of right (left) ideals. Then we study relative pure-injective modules and their relations with cotorsion modules.