1 citations · 1 across the 2 of their papers we have counts for
5 papers
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…
-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 $…
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…
The radical of an n-absorbing ideal
Hyun Seung Choi, Andrew Walker
In this note we show that in a commutative ring with unity, for any , if is an -absorbing ideal of , then .
Iterated Monodromy Groups of Intermediate Growth
Ashley S. Dougherty, Lydia R. Kindelin, Aaron M. Reaves +2
We give two new examples of groups of intermediate growth, by a method that was first used by Bux and Pérez. Our examples are the groups generated by the automata with the kneading…