2023/05/10 by Amnon Yekutieli, Yekutieli, Amnon
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #primary 14F08 #secondary 13D09
paper · pdf · doi:10.48550/arxiv.2305.06255
openalex publication_date 2023/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that a quasi-isomorphism f : A → B between commutative DG rings, where B admits a divided power structure, can be factored as f = f ∘ e, where e : A → B is a split injective quasi-isomorphism, and f : B → B is a surjective quasi-isomorphism. This result is used in our work on a DG approach to the cotangent complex, and our work on the derived category of commutative DG rings.