Showing 2026Show all
2 papers · 1 filter
math.AC2026
Cohomological Cohen--Macaulayness in Non-Noetherian Rings
Ryoya Ando
We study Cohen--Macaulayness, in the sense of Hamilton--Marley, of non-Noetherian rings arising as big Cohen--Macaulay algebras. Motivated by Bhatt's notion of cohomological Cohen-…
math.AC2026
Polynomial Extensions and Localization of Non-Noetherian Cohen--Macaulay Rings
Ryoya Ando
This paper studies polynomial extensions and localization of HMCM rings, where HMCM means Cohen--Macaulay in the sense of Hamilton--Marley, a notion for non-Noetherian rings. We sh…