Straight Domains are Locally Divided
Commutative Algebra
2023-07-13 v2
Abstract
We present a proof that all straight domains are locally dividedthereby answering two open problems posed by Dobbs and Picavet, which appeared in the survey "Open Problems in Commutative Ring Theory" written by Cahen, Fontana, Frisch, and Glaz. In fact, we are able to prove a stronger result: a prime ideal of a domain is straight if and only if it is locally divided.
Cite
@article{arxiv.2305.01809,
title = {Straight Domains are Locally Divided},
author = {Spencer Secord},
journal= {arXiv preprint arXiv:2305.01809},
year = {2023}
}
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