Eli B. Dugan

activity

20242026

collaborators

3 papers

math.CO2026

Polyomino Density

D. M. Condon, Eli B. Dugan, Laney M. Goldman +1

A de Bruijn polyomino has colored cells and includes exactly one instance of each possible coloring of another polyomino with those colors. This generalizes the notion of a de Brui…

math.AC2025

Completions of Extremely Noncatenary Noetherian UFDs

Eli B. Dugan, S. Loepp

Let $T$ be a complete local ring. We present necessary and sufficient conditions for $T$ to be the completion of a local (Noetherian) unique factorization domain $A$ such that ther…

math.AC2024

Some asymptotic results on $p$ -lengths of factorizations for numerical semigroups and arithmetical congruence monoids

Spencer Chapman, Eli B. Dugan, Shadi Gaskari +4

A factorization of an element $x$ in a monoid $(M, \cdot)$ is an expression of the form $x = u_{1}^{z_{1}} \dots u_{k}^{z_{k}}$ for irreducible elements $u_{1}, \dots, u_{k} \in M$ , and the…

Polyomino Density

Completions of Extremely Noncatenary Noetherian UFDs

Some asymptotic results on p-lengths of factorizations for numerical semigroups and arithmetical congruence monoids

Some asymptotic results on $p$ -lengths of factorizations for numerical semigroups and arithmetical congruence monoids