International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 8, Pages 439-451
doi:10.1155/S0161171202011675
On ideals and homology in additive categories
Lucian M. Ionescu
Department of Mathematics, Illinois State University, Normal 61790-4520, IL, USA
Abstract
Ideals are used to define homological functors in 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. The applications considered in this paper are: derived categories and functors.