On Ideals and Homology in Additive Categories

Details On Ideals and Homology in Additive Categories On Ideals and Homology in Additive Categories

1999-06-07

arxiv.org/abs/math/9906039v2

Mathematics

Category Theory

10 pages, AMS-LaTex; v.2 includes applications to derived categories and functors (preliminary version)

Scientific paper

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.

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