Homological algebra over non-unital rings and algebras, with applications to $(\infty, 1)$-categories
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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 12 March 2026
- Language
- EN
- Document type
- Preprint