Relative homological categories
Category Theory
2007-05-23 v1
Abstract
We introduce relative homological and weakly homological categories, where ``relative'' refers to a distinguished class of normal epimorphisms. It is a generalization of homological categories, but also protomodular categories can be regarded as examples. We indicate that the relative versions of various homological lemmas can be proved in a relative homological category.
Cite
@article{arxiv.math/0608774,
title = {Relative homological categories},
author = {Tamar Janelidze},
journal= {arXiv preprint arXiv:math/0608774},
year = {2007}
}
Comments
to be published in "Journal of Homotopy and Related Structures"