Felix Gotti

collaborators

5 papers

math.AC2026

Additive factorizations in finitely generated semidomains

Timothy Chen, Felix Gotti, Alan Yao

For finite $S \subseteq C$ , we study additive factorizations in $N_{0} [S]$ and their behavior under adjoining generators. We construct rational and quadratic exampl…

math.AC2026

The Bi-LF Positive Conjecture Holds

Felix Gotti, Omar Graia, Neil Panse

We prove that a semidomain has length-factorial additive and multiplicative monoids if and only if it is isomorphic to the semiring of nonnegative integers or is a unique factoriza…

math.AC2026

Factorizations in rational monogenic semidomains

Anna Deng, Felix Gotti, Jason Zeng

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

math.GM2026

The Bi-UF Positive Conjecture for quadratic monogenic semirings and related progress

Felix Gotti, Omar Graia, Darren Han +1

A complex semiring is a subset of the complex plane that is closed under the standard addition and multiplication of complex numbers and contains both $0$ and $1$ . A complex semiri…

math.AC2026

On the additive structure of algebraic valuations of polynomial semirings II

Timothy Chen, Felix Gotti, Tony Lu +1

For $α \in C$ , let $N_{0} [α]$ be the subsemiring of~ $C$ obtained as a homomorphic image of the $α$ -evaluation map $N_{0} [x] \to C$ defined a…