On Ideals and Homology in Additive Categories
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 cat...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202011675 |
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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |