On Direct Sums of Injective Modules and Chain Conditions
On Direct Sums of Injective Modules and Chain Conditions
Abstract Let R be a ring and M a right R -module. Let σ[ M ] be the full subcategory of Mod- R subgenerated by M . An M -natural class 𝒦 is a subclass of σ[ M ] closed under submodules, direct sums, isomorphic copies, and M -injective hulls. …