B. Liu

collaborators

3 papers

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…