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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1849691565193166848 |
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| author | Lucian M. Ionescu |
| author_facet | Lucian M. Ionescu |
| author_sort | Lucian M. Ionescu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e211e6e236944b50bb02d16e0f415229 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e211e6e236944b50bb02d16e0f4152292025-08-20T03:20:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129843945110.1155/S0161171202011675On Ideals and Homology in Additive CategoriesLucian M. Ionescu0Department of Mathematics, Illinois State University, Normal, IL 61790-4520, USAIdeals 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.http://dx.doi.org/10.1155/S0161171202011675 |
| spellingShingle | Lucian M. Ionescu On Ideals and Homology in Additive Categories International Journal of Mathematics and Mathematical Sciences |
| title | On Ideals and Homology in Additive Categories |
| title_full | On Ideals and Homology in Additive Categories |
| title_fullStr | On Ideals and Homology in Additive Categories |
| title_full_unstemmed | On Ideals and Homology in Additive Categories |
| title_short | On Ideals and Homology in Additive Categories |
| title_sort | on ideals and homology in additive categories |
| url | http://dx.doi.org/10.1155/S0161171202011675 |
| work_keys_str_mv | AT lucianmionescu onidealsandhomologyinadditivecategories |