Jason Zeng

collaborators

2 papers

math.AC2026

Factorizations in rational monogenic semidomains

Anna Deng, Felix Gotti, Jason Zeng

For $I^\pm \in C$ , the monogenic semidomain generated by $I^\pm$ is the smallest subsemiring $S_{I^} \pm$ of the complex field $C$ containing $I^\pm$ . We initiate a systematic st…

math.AC2025

On the set of atoms and strong atoms in additive monoids of cyclic semidomains

Jiya Dani, Anna Deng, Marly Gotti +4

Let $M$ be a cancellative and commutative monoid. A non-invertible element of $M$ is called an atom (or irreducible element) if it cannot be factored into two non-invertible elemen…