Morphisms determined by objects and flat covers
arXiv:1403.6039
Abstract
We describe a procedure for constructing morphisms in additive categories, combining Auslander's concept of a morphism determined by an object with the existence of flat covers. Also, we show how flat covers are turned into projective covers, and we interprete these constructions in terms of adjoint functors.
12 pages. Added in Version 2 an appendix "Auslander varieties"