2 citations · 2 across the 8 of their papers we have counts for
8 papers
Extremal factorization lengths of elements in commutative, cancellative semigroups
Baian Liu
For a numerical semigroup with minimal generators , Barron, O'Neill, and Pelayo showed that and $\e…
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…
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…
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-…
Longest and Shortest Factorizations in Embedding Dimension Three
Baian Liu, JiaYan Yap
For a numerical monoid minimally generated by with , the longest and shortest factorization l…
Moduli Spaces of One-Line Extensions of Configurations
Moshe Cohen, Baian Liu
Two line arrangements in can have different topological properties even if they are combinatorially isomorphic. Results by Dan Cohen and Suciu and by Randell show t…
Ring Structure of Integer-Valued Rational Functions
Baian Liu
$\DeclareMathOperator{\IntR}{Int{}^\text{R}}$Integer-valued rational functions are a natural generalization of integer-valued polynomials. Given a domain , the collection of all…
Multi-Symbol Forbidden Configurations
Keaton Ellis, Baian Liu, Attila Sali
An -matrix is a matrix with symbols in . A matrix is simple if it has no repeated columns. Let the support of a matrix , be the largest si…