A note on the class of sober rings
Commutative Algebra
2025-07-23 v1
Abstract
We introduce the class of sober rings and investigate it through several key results, highlighting connections to some other known classes of rings. We analyze sufficient conditions for a ring to be sober, as well as necessary conditions. We also provide examples to illustrate the behavior of this property.
Keywords
Cite
@article{arxiv.2507.15978,
title = {A note on the class of sober rings},
author = {Saeid Jafari and Ernesto Lax},
journal= {arXiv preprint arXiv:2507.15978},
year = {2025}
}