Morphisms determined by objects and flat covers
Category Theory
2014-06-26 v2 Representation Theory
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.
Cite
@article{arxiv.1403.6039,
title = {Morphisms determined by objects and flat covers},
author = {Henning Krause},
journal= {arXiv preprint arXiv:1403.6039},
year = {2014}
}
Comments
12 pages. Added in Version 2 an appendix "Auslander varieties"