Homological algebra over non-unital rings and algebras, with applications to $(\infty, 1)$-categories
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918384377004032 |
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| author | Goubault, Eric Médioni, Eliot |
| author_facet | Goubault, Eric Médioni, Eliot |
| contents | The article is developing homological algebra in modules over non-unital rings and algebras. The main application is the definition and study of (directed) homology of $(\infty,1)$-categories and of directed spaces, including relative homology and its exact sequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11937 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Homological algebra over non-unital rings and algebras, with applications to $(\infty, 1)$-categories Goubault, Eric Médioni, Eliot Algebraic Topology 55N35, 18E10, 13C60 The article is developing homological algebra in modules over non-unital rings and algebras. The main application is the definition and study of (directed) homology of $(\infty,1)$-categories and of directed spaces, including relative homology and its exact sequence. |
| title | Homological algebra over non-unital rings and algebras, with applications to $(\infty, 1)$-categories |
| topic | Algebraic Topology 55N35, 18E10, 13C60 |
| url | https://arxiv.org/abs/2603.11937 |