3 papers
math.AC2019
A note on Non-Noetherian Cohen-Macaulay rings
Youngsu Kim, Andrew Walker
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…
math.AC2018
-absorbing monomial ideals in polynomial rings
Hyun Seung Choi, Andrew Walker
In a commutative ring with unity, given an ideal of , Anderson and Badawi in 2011 introduced the invariant , which is the minimal integer for which is an $…
math.AC2017
Descending chains of semistar operations
Hyun Seung Choi, Timothy McEldowney, Andrew Walker
A class of integer-valued functions defined on the set of ideals of an integral domain is investigated. We show that this class of functions, which we call ideal valuations, ar…