English

A Module-theoretic Introduction to Abstract Elementary Classes

Logic 2025-07-21 v2 Rings and Algebras

Abstract

The first-order model theory of modules has been studied for decades. More recently, the model theoretic study of nonelementary classes of modules--especially Abstract Elementary Classes of modules--has produced interesting results. This survey aims to discuss these recent results and give an introduction to the framework of Abstract Elementary Classes for module theorists.

Keywords

Cite

@article{arxiv.2503.10528,
  title  = {A Module-theoretic Introduction to Abstract Elementary Classes},
  author = {Will Boney},
  journal= {arXiv preprint arXiv:2503.10528},
  year   = {2025}
}
R2 v1 2026-06-28T22:19:18.166Z