pith. sign in

arxiv: 1609.08327 · v5 · pith:R4XQJNHEnew · submitted 2016-09-27 · 🧮 math.AG · math.AC

Geometric characterization of flat modules

classification 🧮 math.AG math.AC
keywords flatmoduleaffinealgebraicvarietiescharacterizationcommutativedirect
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.