$n$-Absolutely pure and $n$-flat modules, revisited

Rafael Parra; Marco A. P{é}rez

$n$-Absolutely pure and $n$-flat modules, revisited

Rings and Algebras 2026-07-24 v1

Authors: Rafael Parra , Marco A. P{é}rez

Abstract

We revisit the concepts of $n$ -absolutely pure and $n$ -flat modules, and their relation with $n$ -coherent rings in the sense of Lee. We provide new proofs for some known claims about these modules and rings, and show other new properties. We also give some corrections to the existing literature.

Cite

@article{arxiv.2607.22482,
  title  = {$n$-Absolutely pure and $n$-flat modules, revisited},
  author = {Rafael Parra and Marco A. P{é}rez},
  journal= {arXiv preprint arXiv:2607.22482},
  year   = {2026}
}

Comments

30 papes. No AI used. Comments are welcome