Almost free modules, perfect decomposition and Enochs's conjecture

Manuel Cortés-Izurdiaga, Alejandro Poveda

Given a module $X$ and a regular cardinal $\kappa$ we study various notions of $(\kappa ,\mathrm{Add}(X))$-freeness and $(\kappa ,\mathrm{Add}(X))$-separability. Bearing on appropriate set-theoreti…