2 papers
math.AC2026
The Arithmetic of Semirings Part I: Ideals
Jay Chen, Trevor Hyde, Dorien Laurens +2
We study ideals in the semiring of natural numbers, with a focus on those which are lost when extending from to . This leads to a new perspect…
math.NT2026
Rational orbits under correspondences
Trevor Hyde
Consider an algebraic function like . If is a rational number, how many iterates of under can also be rational? The dynamics of al…