Jim Lawrence

collaborators

2 papers

math.AC2023

Power-closed ideals of polynomial and Laurent polynomial rings

Geir Agnarsson, Jim Lawrence

We investigate the structure of power-closed ideals of the complex polynomial ring $R = C [x_{1}, \dots, x_{d}]$ and the Laurent polynomial ring $R^{\pm} = \mathbb{C}[x_1,\ldots…

math.MG2023

Homotheties and Coverings by Convex Sets

Jim Lawrence

It is shown that, for any function $g$ that is weakly increasing on compact convex sets and has the property that if $λ \geq 0$ and $K^{'}$ is a translate of $λ K$ then $g(K^\prime…