Universal Homotopy Theories and Associated Homological Algebras

Fuente: arXiv
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Autore principale: Rouintan, Ahmad
Natura: Preprint
Pubblicazione: 2023
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author Rouintan, Ahmad
author_facet Rouintan, Ahmad
contents Let $\mathscr{C}$ be a small category. For every commutative ring $R$ with unity, we associate an $R\mathrm{-linear}$ abelian category with the universal homotopy category of $\mathscr{C}$, where we can do the corresponding homological algebra.
format Preprint
id arxiv_https___arxiv_org_abs_2311_17890
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Universal Homotopy Theories and Associated Homological Algebras
Rouintan, Ahmad
Algebraic Geometry
Algebraic Topology
Let $\mathscr{C}$ be a small category. For every commutative ring $R$ with unity, we associate an $R\mathrm{-linear}$ abelian category with the universal homotopy category of $\mathscr{C}$, where we can do the corresponding homological algebra.
title Universal Homotopy Theories and Associated Homological Algebras
topic Algebraic Geometry
Algebraic Topology
url https://arxiv.org/abs/2311.17890