2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75589In this article we shall study some basic properties of posynomial rings with particular emphasis on rings ${\rm Pos}(K,\mathbb{Q})[\bar x]$, and ${\rm Pos}(K,\mathbb{Z})[\bar x]$. The latter ring is the well known ring of Laurent polynomials.Commutative Algebra16S34;13A99text