2018/11/28 by Adrián Gordillo-Merino, José Navarro, Gordillo-Merino, Adrián +3
Mathematics · #16D10 #18A99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1811.11487
openalex publication_date 2018/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be an associative ring with unit. Given an R-module M, we can associate the following covariant functor from the category of R-algebras to the category of abelian groups: S↦ M⊗R S. With the corresponding notion of dual functor, we prove that the natural morphism of functors \mathcal M→ \mathcal M\vee\vee is an isomorphism. We prove several characterizations of the functors associated with flat modules, flat Mittag-Leffler modules and projective modules.