Quasi-maximal ideals and ring extensions
Commutative Algebra
2026-01-21 v1
Abstract
Alan and al. defined and studied quasi-maximal ideals. We add a comprehensive characterization of these ideals, introducing submaximal ideals. The conductor of a finite minimal extension is quasi-maximal in . This allows us to give a new characterization of these extensions. We also examine the links between quasi-maximal ideals and Badawi 2-absorbing ideals.
Keywords
Cite
@article{arxiv.2601.13093,
title = {Quasi-maximal ideals and ring extensions},
author = {Gabriel Picavet and Martine Picavet-L'Hermitte},
journal= {arXiv preprint arXiv:2601.13093},
year = {2026}
}