Finite Generation in Polynomial Semirings

Mohammad El Asal, Wael Mahboub

We study the semiring ${\mathbb{N}}_0[\hat{I}\pm ]$ as an additive monoid where $\hat{I}\pm$ is a positive real algebraic number. In the atomic case, the atoms of ${\mathbb{N}}_0[\hat{I}\pm ]$ are precisely the…