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arXiv · 2603.11937

Homological algebra over non-unital rings and algebras, with applications to $(\infty, 1)$-categories

Eric Goubault·Eliot Médioni
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Abstract

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.

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Eric Goubault, Eliot Médioni. 2026-03-12. Homological algebra over non-unital rings and algebras, with applications to $(\infty, 1)$-categories. https://arxiv.org/abs/2603.11937

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