2016/09/27 by Carlos Sancho, Sancho, Carlos, Sancho, Fernando +2 · 1 citation
Mathematics · #13C11 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1609.08327
openalex publication_date 2016/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be a commutative ring. Roughly speaking, we prove that an R-module M is flat iff it is a direct limit of R-module affine algebraic varieties, and M is a flat Mittag-Leffler module iff it is the union of its R-submodule affine algebraic varieties.