3 papers
math.AC2026
An Integrally Closed Reduced Ring with McCoy Localizations That Is Neither McCoy nor Locally a Domain
Haotian Ma
We construct an explicit commutative ring that is reduced and integrally closed, such that is an integrally closed McCoy ring for every maximal ideal $\mathfr…
math.AC2026
A Counterexample to Problem 19 on Integer-valued Polynomial Rings
Haotian Ma
We give a negative answer to Problem 19 of Cahen, Fontana, Frisch, and Glaz concerning the flatness and freeness of rings of integer-valued polynomials. We construct an explicit on…
math.CO2024
List-avoiding orientations
Peter Bradshaw, Yaobin Chen, Hao Ma +2
Given a graph with a set of forbidden values at each , an -avoiding orientation of is an orientation in which for each vertex…