On Ideals and Homology in Additive Categories

Lucian M. Ionescu

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-13

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:520725

DOI: 10.1155/S0161171202011675

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