Modules commuting (via Hom) with some limits
Modules commuting (via Hom) with some limits
For every module M we have a natural monomorphism $Φ: ∐_{i ∈ I} Hom _R (A_i,M) → Hom _R (∏_{i ∈I} A_i, M)$ and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). S