On Ideals and Homology in Additive Categories
arXiv:math/9906039
Abstract
Ideals are used to define homological functors for additive categories. In abelian categories the ideals corresponding to the usual universal objects are principal, and the construction reduces, in a choice dependent way, to homology groups. Applications are considered: derived categories and functors.
10 pages, AMS-LaTex; v.2 includes applications to derived categories and functors (preliminary version)