A note on Non-Noetherian Cohen-Macaulay rings
Commutative Algebra
2019-01-14 v2
Abstract
In this note, we study the Cohen-Macaulayness of non-Noetherian rings. We show that Hochster's celebrated theorem that a finitely generated normal semigroup ring is Cohen-Macaulay does not extend to non-Noetherian rings. We also show that for any valuation domain of finite Krull dimension, is Cohen-Macaulay in the sense of Hamilton-Marley.
Cite
@article{arxiv.1812.05079,
title = {A note on Non-Noetherian Cohen-Macaulay rings},
author = {Youngsu Kim and Andrew Walker},
journal= {arXiv preprint arXiv:1812.05079},
year = {2019}
}
Comments
Fixed typos from the previous version