cohen-macaulay property 1coherent rings 1localization 1non-noetherian rings 1polynomial extensions 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AC2026
Polynomial Extensions and Localization of Non-Noetherian Cohen--Macaulay Rings
Ryoya Ando
The paper examines whether the Hamilton–Marley Cohen–Macaulay (HMCM) property for non‑Noetherian rings is preserved under polynomial extensions and localization, presenting counter…
math.AC2024
On torsion-free modules and semi-hereditary rings
Ryoya Ando
The class of semi-hereditary rings is an important class of rings in theories that do not assume the Noetherian condition, such as perfectoid ring theory. We prove several results…