Showing math.ACShow all
3 papers · 1 filter
math.AC2024
Factorization of rings of integer-valued rational functions
Baian Liu
$\DeclareMathOperator{\Int}{Int}\DeclareMathOperator{\IntR}{Int{}^\text{R}}$For a domain , the ring $\Int(D)$ of integer-valued polynomials over is atomic if satisfies t…
math.AC2024
Integer-valued rational functions over globalized pseudovaluation domains
Baian Liu
$\DeclareMathOperator{\IntR}{Int{}^\text{R}}$$\DeclareMathOperator{\Int}{Int}$Let be a domain. Park determined the necessary and sufficient conditions for which the ring of int…
math.AC2024
The Skolem property in rings of integer-valued rational functions
Baian Liu
$\DeclareMathOperator{\Int}{Int} \DeclareMathOperator{\IntR}{Int{}^\text{R}} \newcommand{\Z}{\mathbb Z}$Let be a domain and let $\Int(D)$ and $\IntR(D)$ be the ring of integer-…