Abstrakt
Baer's Criterion of injectivity implies that injectivity of a module is a factorization property with respect to a single monomorphism. Using the notion of a cotorsion pair, we study generalizations and dualizations of factorization properties in dependence on the algebraic structure of the underlying ring R and on additional set-theoretic hypotheses.
For R commutative noetherian of Krull dimension 0 vertical bar R vertical bar, then the category of all projective modules is kappa-accessible.