On Ideals and Homology in Additive Categories
Category Theory
2016-09-07 v2
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.
Keywords
Cite
@article{arxiv.math/9906039,
title = {On Ideals and Homology in Additive Categories},
author = {Lucian M. Ionescu},
journal= {arXiv preprint arXiv:math/9906039},
year = {2016}
}
Comments
10 pages, AMS-LaTex; v.2 includes applications to derived categories and functors (preliminary version)