B. Liu

activity

20172023

most citedMulti-Symbol Forbidden Configurations

2 citations · 2 across the 8 of their papers we have counts for

collaborators

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6 papers · 1 filter

math.AC2023

Extremal factorization lengths of elements in commutative, cancellative semigroups

Baian Liu

For a numerical semigroup $S := ⟨ n_{1}, \dots, n_{k} ⟩$ with minimal generators $n_{1} < \dots < n_{k}$ , Barron, O'Neill, and Pelayo showed that $L (s + n_{1}) = L (s) + 1$ and $\e…

math.AC2023

Integer-valued rational functions over globalized pseudovaluation domains

Baian Liu

$\DeclareMathOperator{\IntR}{Int{}^\text{R}}$$\DeclareMathOperator{\Int}{Int}$Let $D$ be a domain. Park determined the necessary and sufficient conditions for which the ring of int…

math.AC2023

Factorization of rings of integer-valued rational functions

Baian Liu

$\DeclareMathOperator{\Int}{Int}\DeclareMathOperator{\IntR}{Int{}^\text{R}}$For a domain $D$ , the ring $\Int(D)$ of integer-valued polynomials over $D$ is atomic if $D$ satisfies t…

math.AC2023

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 $D$ be a domain and let $\Int(D)$ and $\IntR(D)$ be the ring of integer-…

math.AC2022

Longest and Shortest Factorizations in Embedding Dimension Three

Baian Liu, JiaYan Yap

For a numerical monoid $⟨ n_{1}, \dots, n_{k} ⟩$ minimally generated by $n_{1}, \dots, n_{k} \in N$ with $n_{1} < \dots < n_{k}$ , the longest and shortest factorization l…

math.AC2022

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 $D$ , the collection of all…