On cellular covers with free kernels

José L. Rodríguez, Lutz Strüngmann

Recall that a homomorphism of $R$-modules $\pi :G\to H$ is called a {\it cellular cover} over $H$ if $\pi$ induces an isomorphism $π_*: \Hom_R(G,G)\cong \Hom_R(G,H),$ where $π_*(φ)= πφ…