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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…